152905920 has 224 divisors, whose sum is σ = 522305280. Its totient is φ = 37785600.

The previous prime is 152905903. The next prime is 152905931. The reversal of 152905920 is 29509251.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1513870 + ... + 1513970.

It is an arithmetic number, because the mean of its divisors is an integer number (2331720).

Almost surely, 2^152905920 is an apocalyptic number.

152905920 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 152905920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261152640).

152905920 is an abundant number, since it is smaller than the sum of its proper divisors (369399360).

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

152905920 is a wasteful number, since it uses less digits than its factorization.

152905920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 33.

The square root of 152905920 is about 12365.5133334609. The cubic root of 152905920 is about 534.7384752597.

The spelling of 152905920 in words is "one hundred fifty-two million, nine hundred five thousand, nine hundred twenty".