158182113600 has 2268 divisors, whose sum is σ = 746926506144. Its totient is φ = 32763709440.

The previous prime is 158182113599. The next prime is 158182113601. The reversal of 158182113600 is 6311281851.

158182113600 is a `hidden beast` number, since 1 + 5 + 8 + 18 + 21 + 13 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (158182113599) and next prime (158182113601).

It is a tau number, because it is divible by the number of its divisors (2268).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (158182113601) 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 323 ways as a sum of consecutive naturals, for example, 6877483189 + ... + 6877483211.

Almost surely, 2^158182113600 is an apocalyptic number.

158182113600 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 158182113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373463253072).

158182113600 is an abundant number, since it is smaller than the sum of its proper divisors (588744392544).

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

158182113600 is a wasteful number, since it uses less digits than its factorization.

158182113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 158182113600 in words is "one hundred fifty-eight billion, one hundred eighty-two million, one hundred thirteen thousand, six hundred".