158207385600 has 1512 divisors, whose sum is σ = 681045504048. Its totient is φ = 36097228800.

The previous prime is 158207385587. The next prime is 158207385727. The reversal of 158207385600 is 6583702851.

158207385600 is a `hidden beast` number, since 1 + 5 + 8 + 2 + 0 + 7 + 38 + 5 + 600 = 666.

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

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 9306316792 + ... + 9306316808.

Almost surely, 2^158207385600 is an apocalyptic number.

158207385600 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 158207385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340522752024).

158207385600 is an abundant number, since it is smaller than the sum of its proper divisors (522838118448).

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

158207385600 is an equidigital number, since it uses as much as digits as its factorization.

158207385600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 158207385600 in words is "one hundred fifty-eight billion, two hundred seven million, three hundred eighty-five thousand, six hundred".