152394880 has 64 divisors (see below), whose sum is σ = 397457280. Its totient is φ = 55413760.

The previous prime is 152394863. The next prime is 152394883. The reversal of 152394880 is 88493251.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-5 number, since 5×152394880⁵ (a number of 42 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (152394883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3784 + ... + 17863.

It is an arithmetic number, because the mean of its divisors is an integer number (6210270).

Almost surely, 2^152394880 is an apocalyptic number.

152394880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152394880 is an abundant number, since it is smaller than the sum of its proper divisors (245062400).

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

152394880 is a wasteful number, since it uses less digits than its factorization.

152394880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21677 (or 21665 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 152394880 is about 12344.8321171250. The cubic root of 152394880 is about 534.1420785566.

The spelling of 152394880 in words is "one hundred fifty-two million, three hundred ninety-four thousand, eight hundred eighty".