152532 has 36 divisors (see below), whose sum is σ = 407680. Its totient is φ = 47952.

The previous prime is 152531. The next prime is 152533. The reversal of 152532 is 235251.

It is a happy number.

152532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (152531) and next prime (152533).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×152532² = 46532022048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152531) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 573 + ... + 795.

2¹⁵²⁵³² is an apocalyptic number.

152532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203840).

152532 is an abundant number, since it is smaller than the sum of its proper divisors (255148).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

152532 is a wasteful number, since it uses less digits than its factorization.

152532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 247 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 152532 is about 390.5534534478. The cubic root of 152532 is about 53.4302231807.

Adding to 152532 its reverse (235251), we get a palindrome (387783).

The spelling of 152532 in words is "one hundred fifty-two thousand, five hundred thirty-two".