152983680 has 256 divisors, whose sum is σ = 533174400. Its totient is φ = 37158912.

The previous prime is 152983631. The next prime is 152983703. The reversal of 152983680 is 86389251.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1403466 + ... + 1403574.

Almost surely, 2^152983680 is an apocalyptic number.

152983680 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 152983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266587200).

152983680 is an abundant number, since it is smaller than the sum of its proper divisors (380190720).

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

152983680 is a wasteful number, since it uses less digits than its factorization.

152983680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 152983680 is about 12368.6571623600. The cubic root of 152983680 is about 534.8291066256.

The spelling of 152983680 in words is "one hundred fifty-two million, nine hundred eighty-three thousand, six hundred eighty".