152031564 has 72 divisors (see below), whose sum is σ = 414016512. Its totient is φ = 46902240.

The previous prime is 152031499. The next prime is 152031569. The reversal of 152031564 is 465130251.

It is a super-2 number, since 2×152031564² = 46227192904572192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (152031569) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 22707 + ... + 28629.

Almost surely, 2^152031564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152031564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207008256).

152031564 is an abundant number, since it is smaller than the sum of its proper divisors (261984948).

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

152031564 is a wasteful number, since it uses less digits than its factorization.

152031564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5987 (or 5982 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 152031564 is about 12330.1080287238. The cubic root of 152031564 is about 533.7172681656.

The spelling of 152031564 in words is "one hundred fifty-two million, thirty-one thousand, five hundred sixty-four".