157672222811136 has 1056 divisors, whose sum is σ = 541861084402560. Its totient is φ = 44882391859200.

The previous prime is 157672222811111. The next prime is 157672222811171. The reversal of 157672222811136 is 631118222276751.

157672222811136 is a `hidden beast` number, since 1 + 5 + 7 + 6 + 7 + 222 + 281 + 1 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-3 number, since 3×157672222811136³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9463542646 + ... + 9463559306.

Almost surely, 2^{157672222811136} is an apocalyptic number.

157672222811136 is a gapful number since it is divisible by the number (16) 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 157672222811136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270930542201280).

157672222811136 is an abundant number, since it is smaller than the sum of its proper divisors (384188861591424).

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

157672222811136 is a wasteful number, since it uses less digits than its factorization.

157672222811136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16796 (or 16743 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 157672222811136 in words is "one hundred fifty-seven trillion, six hundred seventy-two billion, two hundred twenty-two million, eight hundred eleven thousand, one hundred thirty-six".