152785920 has 352 divisors, whose sum is σ = 589536000. Its totient is φ = 33718272.

The previous prime is 152785889. The next prime is 152785933. The reversal of 152785920 is 29587251.

It is a congruent number.

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, 5268466 + ... + 5268494.

Almost surely, 2^152785920 is an apocalyptic number.

152785920 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 152785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294768000).

152785920 is an abundant number, since it is smaller than the sum of its proper divisors (436750080).

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

152785920 is an equidigital number, since it uses as much as digits as its factorization.

152785920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 152785920 is about 12360.6601765440. The cubic root of 152785920 is about 534.5985517242.

The spelling of 152785920 in words is "one hundred fifty-two million, seven hundred eighty-five thousand, nine hundred twenty".