156197145600 has 792 divisors, whose sum is σ = 608212500480. Its totient is φ = 38154240000.

The previous prime is 156197145563. The next prime is 156197145607. The reversal of 156197145600 is 6541791651.

156197145600 is a `hidden beast` number, since 1 + 5 + 6 + 19 + 71 + 4 + 560 + 0 = 666.

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 (156197145607) 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 71 ways as a sum of consecutive naturals, for example, 135705025 + ... + 135706175.

Almost surely, 2^156197145600 is an apocalyptic number.

156197145600 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 156197145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304106250240).

156197145600 is an abundant number, since it is smaller than the sum of its proper divisors (452015354880).

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

156197145600 is a wasteful number, since it uses less digits than its factorization.

156197145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 156197145600 in words is "one hundred fifty-six billion, one hundred ninety-seven million, one hundred forty-five thousand, six hundred".