152531520 has 112 divisors (see below), whose sum is σ = 492678720. Its totient is φ = 39970816.

The previous prime is 152531479. The next prime is 152531527. The reversal of 152531520 is 25135251.

It is a happy number.

It is a super-3 number, since 3×152531520³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152531527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55294 + ... + 57986.

Almost surely, 2^152531520 is an apocalyptic number.

152531520 is a gapful number since it is divisible by the number (10) 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 152531520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246339360).

152531520 is an abundant number, since it is smaller than the sum of its proper divisors (340147200).

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

152531520 is a wasteful number, since it uses less digits than its factorization.

152531520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 152531520 is about 12350.3651767873. The cubic root of 152531520 is about 534.3016713443.

Adding to 152531520 its reverse (25135251), we get a palindrome (177666771).

The spelling of 152531520 in words is "one hundred fifty-two million, five hundred thirty-one thousand, five hundred twenty".