137482114725201 has 32 divisors (see below), whose sum is σ = 187045352202240. Its totient is φ = 89804556900800.

The previous prime is 137482114725181. The next prime is 137482114725223. The reversal of 137482114725201 is 102527411284731.

It is a cyclic number.

It is not a de Polignac number, because 137482114725201 - 2²⁵ = 137482081170769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137482114725001) 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, 19336696 + ... + 25472966.

It is an arithmetic number, because the mean of its divisors is an integer number (5845167256320).

Almost surely, 2^{137482114725201} is an apocalyptic number.

It is an amenable number.

137482114725201 is a deficient number, since it is larger than the sum of its proper divisors (49563237477039).

137482114725201 is a wasteful number, since it uses less digits than its factorization.

137482114725201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6136997.

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 137482114725201 in words is "one hundred thirty-seven trillion, four hundred eighty-two billion, one hundred fourteen million, seven hundred twenty-five thousand, two hundred one".