152807688 has 128 divisors (see below), whose sum is σ = 469929600. Its totient is φ = 45619200.

The previous prime is 152807687. The next prime is 152807729. The reversal of 152807688 is 886708251.

152807688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (152807687) 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 31 ways as a sum of consecutive naturals, for example, 173008 + ... + 173888.

It is an arithmetic number, because the mean of its divisors is an integer number (3671325).

Almost surely, 2^152807688 is an apocalyptic number.

152807688 is a gapful number since it is divisible by the number (18) 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 152807688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234964800).

152807688 is an abundant number, since it is smaller than the sum of its proper divisors (317121912).

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

152807688 is a wasteful number, since it uses less digits than its factorization.

152807688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 152807688 is about 12361.5406806757. The cubic root of 152807688 is about 534.6239392918.

The spelling of 152807688 in words is "one hundred fifty-two million, eight hundred seven thousand, six hundred eighty-eight".