137312671392 has 192 divisors, whose sum is σ = 435123480960. Its totient is φ = 41875771392.

The previous prime is 137312671373. The next prime is 137312671393. The reversal of 137312671392 is 293176213731.

137312671392 is a `hidden beast` number, since 1 + 3 + 73 + 126 + 71 + 392 = 666.

It is not an unprimeable number, because it can be changed into a prime (137312671393) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1215123 + ... + 1323309.

It is an arithmetic number, because the mean of its divisors is an integer number (2266268130).

Almost surely, 2^137312671392 is an apocalyptic number.

137312671392 is a gapful number since it is divisible by the number (12) 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 137312671392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217561740480).

137312671392 is an abundant number, since it is smaller than the sum of its proper divisors (297810809568).

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

137312671392 is a wasteful number, since it uses less digits than its factorization.

137312671392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108332 (or 108318 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The spelling of 137312671392 in words is "one hundred thirty-seven billion, three hundred twelve million, six hundred seventy-one thousand, three hundred ninety-two".