137457637613016 has 128 divisors (see below), whose sum is σ = 393384655641600. Its totient is φ = 39208767160320.

The previous prime is 137457637612931. The next prime is 137457637613077. The reversal of 137457637613016 is 610316736754731.

It is a happy number.

It is a congruent number.

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, 1320525900 + ... + 1320629988.

It is an arithmetic number, because the mean of its divisors is an integer number (3073317622200).

Almost surely, 2^{137457637613016} is an apocalyptic number.

It is an amenable number.

137457637613016 is an abundant number, since it is smaller than the sum of its proper divisors (255927018028584).

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

137457637613016 is a wasteful number, since it uses less digits than its factorization.

137457637613016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117009 (or 117005 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 60.

It can be divided in two parts, 137457637 and 613016, that added together give a triangular number (138070653 = T₁₆₆₁₇).

The spelling of 137457637613016 in words is "one hundred thirty-seven trillion, four hundred fifty-seven billion, six hundred thirty-seven million, six hundred thirteen thousand, sixteen".