137407761408 has 352 divisors, whose sum is σ = 392395161600. Its totient is φ = 42657398784.

The previous prime is 137407761391. The next prime is 137407761427. The reversal of 137407761408 is 804167704731.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 574927753 + ... + 574927991.

Almost surely, 2^137407761408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137407761408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196197580800).

137407761408 is an abundant number, since it is smaller than the sum of its proper divisors (254987400192).

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

137407761408 is a wasteful number, since it uses less digits than its factorization.

137407761408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The spelling of 137407761408 in words is "one hundred thirty-seven billion, four hundred seven million, seven hundred sixty-one thousand, four hundred eight".