157922113536 has 192 divisors, whose sum is σ = 510332659200. Its totient is φ = 47855001600.

The previous prime is 157922113529. The next prime is 157922113541. The reversal of 157922113536 is 635311229751.

157922113536 is a `hidden beast` number, since 1 + 5 + 7 + 92 + 21 + 1 + 3 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 157922113491 and 157922113500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478441 + ... + 738071.

It is an arithmetic number, because the mean of its divisors is an integer number (2657982600).

Almost surely, 2^157922113536 is an apocalyptic number.

157922113536 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 157922113536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255166329600).

157922113536 is an abundant number, since it is smaller than the sum of its proper divisors (352410545664).

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

157922113536 is a wasteful number, since it uses less digits than its factorization.

157922113536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259673 (or 259647 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The spelling of 157922113536 in words is "one hundred fifty-seven billion, nine hundred twenty-two million, one hundred thirteen thousand, five hundred thirty-six".