152877872016 has 75 divisors (see below), whose sum is σ = 442513658433. Its totient is φ = 50954598720.

The previous prime is 152877871999. The next prime is 152877872071. The reversal of 152877872016 is 610278778251.

The square root of 152877872016 is 390996.

It is a perfect power (a square), and thus also a powerful number.

152877872016 is a `hidden beast` number, since 1 + 528 + 7 + 7 + 87 + 20 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 60121078416 + 92756793600 = 245196^2 + 304560^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 14070426 + ... + 14081286.

Almost surely, 2^152877872016 is an apocalyptic number.

152877872016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

152877872016 is the 390996-th square number.

It is an amenable number.

152877872016 is an abundant number, since it is smaller than the sum of its proper divisors (289635786417).

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

152877872016 is an frugal number, since it uses more digits than its factorization.

152877872016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21742 (or 10866 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 54.

The spelling of 152877872016 in words is "one hundred fifty-two billion, eight hundred seventy-seven million, eight hundred seventy-two thousand, sixteen".