137271194472960 has 480 divisors, whose sum is σ = 478942340228352. Its totient is φ = 36334568079360.

The previous prime is 137271194472953. The next prime is 137271194472989. The reversal of 137271194472960 is 69274491172731.

It is a happy number.

137271194472960 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 7 + 11 + 94 + 472 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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, 1704620217 + ... + 1704700743.

Almost surely, 2^{137271194472960} is an apocalyptic number.

137271194472960 is a gapful number since it is divisible by the number (10) 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 137271194472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239471170114176).

137271194472960 is an abundant number, since it is smaller than the sum of its proper divisors (341671145755392).

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

137271194472960 is a wasteful number, since it uses less digits than its factorization.

137271194472960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81104 (or 81085 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 137271194472960 in words is "one hundred thirty-seven trillion, two hundred seventy-one billion, one hundred ninety-four million, four hundred seventy-two thousand, nine hundred sixty".