152711680 has 240 divisors, whose sum is σ = 440831160. Its totient is φ = 50462720.

The previous prime is 152711653. The next prime is 152711701. The reversal of 152711680 is 86117251.

It can be written as a sum of positive squares in 4 ways, for example, as 139051264 + 13660416 = 11792^2 + 3696^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5265906 + ... + 5265934.

Almost surely, 2^152711680 is an apocalyptic number.

152711680 is a gapful number since it is divisible by the number (10) 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 152711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220415580).

152711680 is an abundant number, since it is smaller than the sum of its proper divisors (288119480).

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

152711680 is a wasteful number, since it uses less digits than its factorization.

152711680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 31.

The square root of 152711680 is about 12357.6567358055. The cubic root of 152711680 is about 534.5119490089.

The spelling of 152711680 in words is "one hundred fifty-two million, seven hundred eleven thousand, six hundred eighty".