156300027408 has 400 divisors, whose sum is σ = 561788170240. Its totient is φ = 40940640000.

The previous prime is 156300027407. The next prime is 156300027419. The reversal of 156300027408 is 804720003651.

156300027408 is a `hidden beast` number, since 15 + 630 + 0 + 0 + 2 + 7 + 4 + 0 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (156300027407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5328783 + ... + 5358033.

Almost surely, 2^156300027408 is an apocalyptic number.

156300027408 is a gapful number since it is divisible by the number (18) 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 156300027408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280894085120).

156300027408 is an abundant number, since it is smaller than the sum of its proper divisors (405488142832).

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

156300027408 is a wasteful number, since it uses less digits than its factorization.

156300027408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29328 (or 29313 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 156300027408 in words is "one hundred fifty-six billion, three hundred million, twenty-seven thousand, four hundred eight".