152924920 has 64 divisors (see below), whose sum is σ = 363916800. Its totient is φ = 57674880.

The previous prime is 152924903. The next prime is 152924963. The reversal of 152924920 is 29429251.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236037 + ... + 236683.

It is an arithmetic number, because the mean of its divisors is an integer number (5686200).

Almost surely, 2^152924920 is an apocalyptic number.

152924920 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 152924920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181958400).

152924920 is an abundant number, since it is smaller than the sum of its proper divisors (210991880).

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

152924920 is a wasteful number, since it uses less digits than its factorization.

152924920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 152924920 is about 12366.2815753160. The cubic root of 152924920 is about 534.7606231055.

The spelling of 152924920 in words is "one hundred fifty-two million, nine hundred twenty-four thousand, nine hundred twenty".