152896320 has 84 divisors (see below), whose sum is σ = 525909540. Its totient is φ = 40771584.

The previous prime is 152896313. The next prime is 152896343. The reversal of 152896320 is 23698251.

152896320 is a `hidden beast` number, since 15 + 2 + 8 + 9 + 632 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29419776 + 123476544 = 5424^2 + 11112^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23665 + ... + 29424.

Almost surely, 2^152896320 is an apocalyptic number.

152896320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152896320 is an abundant number, since it is smaller than the sum of its proper divisors (373013220).

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

152896320 is a wasteful number, since it uses less digits than its factorization.

152896320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53112 (or 53099 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 152896320 is about 12365.1251510043. The cubic root of 152896320 is about 534.7272840714.

It can be divided in two parts, 15289 and 6320, that added together give a square (21609 = 147²).

The spelling of 152896320 in words is "one hundred fifty-two million, eight hundred ninety-six thousand, three hundred twenty".