137671917172352 has 128 divisors (see below), whose sum is σ = 275845257907200. Its totient is φ = 68441563008000.

The previous prime is 137671917172351. The next prime is 137671917172369. The reversal of 137671917172352 is 253271719176731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (137671917172351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50410806827 + ... + 50410809557.

It is an arithmetic number, because the mean of its divisors is an integer number (2155041077400).

Almost surely, 2^{137671917172352} is an apocalyptic number.

It is an amenable number.

137671917172352 is an abundant number, since it is smaller than the sum of its proper divisors (138173340734848).

137671917172352 is a wasteful number, since it uses less digits than its factorization.

137671917172352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5966 (or 5954 counting only the distinct ones).

The product of its digits is 23337720, while the sum is 62.

The spelling of 137671917172352 in words is "one hundred thirty-seven trillion, six hundred seventy-one billion, nine hundred seventeen million, one hundred seventy-two thousand, three hundred fifty-two".