152935680 has 72 divisors (see below), whose sum is σ = 488450592. Its totient is φ = 40781824.

The previous prime is 152935661. The next prime is 152935681. The reversal of 152935680 is 86539251.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152935681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16074 + ... + 23753.

It is an arithmetic number, because the mean of its divisors is an integer number (6784036).

Almost surely, 2^152935680 is an apocalyptic number.

152935680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152935680 is an abundant number, since it is smaller than the sum of its proper divisors (335514912).

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

152935680 is an equidigital number, since it uses as much as digits as its factorization.

152935680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39851 (or 39837 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 152935680 is about 12366.7166216421. The cubic root of 152935680 is about 534.7731649667.

The spelling of 152935680 in words is "one hundred fifty-two million, nine hundred thirty-five thousand, six hundred eighty".