152800352 has 24 divisors (see below), whose sum is σ = 318522456. Its totient is φ = 71905792.

The previous prime is 152800321. The next prime is 152800357. The reversal of 152800352 is 253008251.

152800352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152800357) 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 3 ways as a sum of consecutive naturals, for example, 139898 + ... + 140985.

It is an arithmetic number, because the mean of its divisors is an integer number (13271769).

Almost surely, 2^152800352 is an apocalyptic number.

It is an amenable number.

152800352 is an abundant number, since it is smaller than the sum of its proper divisors (165722104).

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

152800352 is a wasteful number, since it uses less digits than its factorization.

152800352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280910 (or 280902 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 152800352 is about 12361.2439503474. The cubic root of 152800352 is about 534.6153837363.

The spelling of 152800352 in words is "one hundred fifty-two million, eight hundred thousand, three hundred fifty-two".