152529920 has 88 divisors (see below), whose sum is σ = 378089088. Its totient is φ = 59043840.

The previous prime is 152529893. The next prime is 152529931. The reversal of 152529920 is 29925251.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4920305 + ... + 4920335.

Almost surely, 2^152529920 is an apocalyptic number.

152529920 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 152529920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189044544).

152529920 is an abundant number, since it is smaller than the sum of its proper divisors (225559168).

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

152529920 is an frugal number, since it uses more digits than its factorization.

152529920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 35.

The square root of 152529920 is about 12350.3004012048. The cubic root of 152529920 is about 534.2998031279.

The spelling of 152529920 in words is "one hundred fifty-two million, five hundred twenty-nine thousand, nine hundred twenty".