156521600640 has 320 divisors, whose sum is σ = 560100447720. Its totient is φ = 41654476800.

The previous prime is 156521600629. The next prime is 156521600687. The reversal of 156521600640 is 46006125651.

156521600640 is a `hidden beast` number, since 1 + 5 + 6 + 5 + 2 + 1 + 6 + 0 + 0 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 105116014656 + 51405585984 = 324216^2 + 226728^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×156521600640² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 156521600595 and 156521600604.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28042650 + ... + 28048230.

Almost surely, 2^156521600640 is an apocalyptic number.

156521600640 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 156521600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280050223860).

156521600640 is an abundant number, since it is smaller than the sum of its proper divisors (403578847080).

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

156521600640 is an equidigital number, since it uses as much as digits as its factorization.

156521600640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6153 (or 6132 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 156521600640 in words is "one hundred fifty-six billion, five hundred twenty-one million, six hundred thousand, six hundred forty".