137988076702640 has 40 divisors (see below), whose sum is σ = 320824399123680. Its totient is φ = 55194865814016.

The previous prime is 137988076702627. The next prime is 137988076702657. The reversal of 137988076702640 is 46207670889731.

137988076702640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-4 number, since 4×137988076702640⁴ (a number of 58 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6642581 + ... + 17891339.

It is an arithmetic number, because the mean of its divisors is an integer number (8020609978092).

Almost surely, 2^{137988076702640} is an apocalyptic number.

137988076702640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137988076702640 is an abundant number, since it is smaller than the sum of its proper divisors (182836322421040).

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

137988076702640 is a wasteful number, since it uses less digits than its factorization.

137988076702640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11402109 (or 11402103 counting only the distinct ones).

The product of its (nonzero) digits is 170698752, while the sum is 68.

The spelling of 137988076702640 in words is "one hundred thirty-seven trillion, nine hundred eighty-eight billion, seventy-six million, seven hundred two thousand, six hundred forty".