152531532 has 96 divisors (see below), whose sum is σ = 422553600. Its totient is φ = 47476800.

The previous prime is 152531527. The next prime is 152531543. The reversal of 152531532 is 235135251.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 152531496 and 152531505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96307 + ... + 97877.

It is an arithmetic number, because the mean of its divisors is an integer number (4401600).

Almost surely, 2^152531532 is an apocalyptic number.

152531532 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 152531532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211276800).

152531532 is an abundant number, since it is smaller than the sum of its proper divisors (270022068).

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

152531532 is a wasteful number, since it uses less digits than its factorization.

152531532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1636 counting only the distinct ones).

The product of its digits is 4500, while the sum is 27.

The square root of 152531532 is about 12350.3656626029. The cubic root of 152531532 is about 534.3016853559.

Adding to 152531532 its reverse (235135251), we get a palindrome (387666783).

The spelling of 152531532 in words is "one hundred fifty-two million, five hundred thirty-one thousand, five hundred thirty-two".