152809657056 has 480 divisors, whose sum is σ = 532709388288. Its totient is φ = 42050119680.

The previous prime is 152809657043. The next prime is 152809657057. The reversal of 152809657056 is 650756908251.

152809657056 is a `hidden beast` number, since 1 + 528 + 0 + 9 + 65 + 7 + 0 + 56 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 152809656993 and 152809657011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152809657057) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 147927516 + ... + 147928548.

Almost surely, 2^152809657056 is an apocalyptic number.

152809657056 is a gapful number since it is divisible by the number (16) 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 152809657056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266354694144).

152809657056 is an abundant number, since it is smaller than the sum of its proper divisors (379899731232).

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

152809657056 is a wasteful number, since it uses less digits than its factorization.

152809657056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 152809657056 in words is "one hundred fifty-two billion, eight hundred nine million, six hundred fifty-seven thousand, fifty-six".