157136373026568 has 192 divisors, whose sum is σ = 459505689879600. Its totient is φ = 48224006553600.

The previous prime is 157136373026539. The next prime is 157136373026587. The reversal of 157136373026568 is 865620373631751.

157136373026568 is a `hidden beast` number, since 1 + 5 + 7 + 1 + 3 + 6 + 37 + 30 + 2 + 6 + 568 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 68107750518564 + 89028622508004 = 8252742^2 + 9435498^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5208522588 + ... + 5208552756.

Almost surely, 2^{157136373026568} is an apocalyptic number.

157136373026568 is a gapful number since it is divisible by the number (18) 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 157136373026568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229752844939800).

157136373026568 is an abundant number, since it is smaller than the sum of its proper divisors (302369316853032).

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

157136373026568 is a wasteful number, since it uses less digits than its factorization.

157136373026568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44472 (or 44465 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 157136373026568 in words is "one hundred fifty-seven trillion, one hundred thirty-six billion, three hundred seventy-three million, twenty-six thousand, five hundred sixty-eight".