157836815136 has 960 divisors, whose sum is σ = 629471969280. Its totient is φ = 37466634240.

The previous prime is 157836815107. The next prime is 157836815189. The reversal of 157836815136 is 631518638751.

It is a happy number.

157836815136 is a `hidden beast` number, since 1 + 578 + 3 + 68 + 1 + 5 + 1 + 3 + 6 = 666.

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 159 ways as a sum of consecutive naturals, for example, 329512945 + ... + 329513423.

It is an arithmetic number, because the mean of its divisors is an integer number (655699968).

Almost surely, 2^157836815136 is an apocalyptic number.

157836815136 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 157836815136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314735984640).

157836815136 is an abundant number, since it is smaller than the sum of its proper divisors (471635154144).

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

157836815136 is a wasteful number, since it uses less digits than its factorization.

157836815136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 642 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 157836815136 in words is "one hundred fifty-seven billion, eight hundred thirty-six million, eight hundred fifteen thousand, one hundred thirty-six".