137401657344 has 1152 divisors, whose sum is σ = 531065808000. Its totient is φ = 34780741632.

The previous prime is 137401657333. The next prime is 137401657387. The reversal of 137401657344 is 443756104731.

137401657344 is a `hidden beast` number, since 1 + 3 + 74 + 0 + 1 + 6 + 573 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 137401657344.

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, 875169714 + ... + 875169870.

It is an arithmetic number, because the mean of its divisors is an integer number (460994625).

Almost surely, 2^137401657344 is an apocalyptic number.

137401657344 is a gapful number since it is divisible by the number (14) 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 137401657344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265532904000).

137401657344 is an abundant number, since it is smaller than the sum of its proper divisors (393664150656).

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

137401657344 is a wasteful number, since it uses less digits than its factorization.

137401657344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 137401657344 in words is "one hundred thirty-seven billion, four hundred one million, six hundred fifty-seven thousand, three hundred forty-four".