157102554816 has 168 divisors, whose sum is σ = 459046813680. Its totient is φ = 51359145984.

The previous prime is 157102554731. The next prime is 157102554821. The reversal of 157102554816 is 618455201751.

157102554816 is a `hidden beast` number, since 1 + 5 + 7 + 10 + 2 + 554 + 81 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7516156 + ... + 7537028.

It is an arithmetic number, because the mean of its divisors is an integer number (2732421510).

Almost surely, 2^157102554816 is an apocalyptic number.

157102554816 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 157102554816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229523406840).

157102554816 is an abundant number, since it is smaller than the sum of its proper divisors (301944258864).

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

157102554816 is a wasteful number, since it uses less digits than its factorization.

157102554816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21143 (or 21130 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 157102554816 in words is "one hundred fifty-seven billion, one hundred two million, five hundred fifty-four thousand, eight hundred sixteen".