152

152 is a natural number that comes after 151 and before 153. It is an even, composite number.

Its prime factorization is 2^3 × 19, and it has eight divisors: 1, 2, 4, 8, 19, 38, 76, and 152. The sum of its proper divisors is 148, so 152 is a deficient number. The Euler totient φ(152) is 72, and the number of positive divisors is 8. A related property is that 152 is a Harshad number in base 10, since it is divisible by the sum of its digits (1 + 5 + 2 = 8; 152 ÷ 8 = 19).

In different numeral systems, 152 is represented as binary 10011000, octal 230, and hexadecimal 0x98. In Roman numerals, it is written CLII.

Calendarwise, in the proleptic Gregorian calendar the 152nd day of a common year is June 1, and in a leap year it is May 31.

Historically, the year 152 CE fell within the reign of Roman Emperor Antoninus Pius. The number also appears as a basic numerical label in various domains, such as editions, sequences, or catalog numbers, where it serves as a straightforward identifier due to its divisibility properties and simple factorization.

In summary, 152 is a small composite number with a concise factor structure, multiple simple representations across numeral systems, and a few standard mathematical characteristics (deficient number, Harshad number, totient value, and divisor count) that make it a routine example in elementary number theory.