156638085120 has 1280 divisors, whose sum is σ = 650872648800. Its totient is φ = 35672555520.

The previous prime is 156638085103. The next prime is 156638085127. The reversal of 156638085120 is 21580836651.

156638085120 is a `hidden beast` number, since 1 + 5 + 6 + 638 + 0 + 8 + 5 + 1 + 2 + 0 = 666.

156638085120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156638085127) 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, 4233461742 + ... + 4233461778.

Almost surely, 2^156638085120 is an apocalyptic number.

156638085120 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 156638085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325436324400).

156638085120 is an abundant number, since it is smaller than the sum of its proper divisors (494234563680).

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

156638085120 is an equidigital number, since it uses as much as digits as its factorization.

156638085120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 156638085120 in words is "one hundred fifty-six billion, six hundred thirty-eight million, eighty-five thousand, one hundred twenty".