137157166400430 has 192 divisors, whose sum is σ = 387056139543360. Its totient is φ = 30971703459840.

The previous prime is 137157166400279. The next prime is 137157166400477. The reversal of 137157166400430 is 34004661751731.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 137157166400430.

It is a congruent number.

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, 5470875 + ... + 17442614.

It is an arithmetic number, because the mean of its divisors is an integer number (2015917393455).

Almost surely, 2^{137157166400430} is an apocalyptic number.

137157166400430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137157166400430 is an abundant number, since it is smaller than the sum of its proper divisors (249898973142930).

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

137157166400430 is a wasteful number, since it uses less digits than its factorization.

137157166400430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22913635 (or 22913624 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 137157166400430 in words is "one hundred thirty-seven trillion, one hundred fifty-seven billion, one hundred sixty-six million, four hundred thousand, four hundred thirty".