137634816637400 has 48 divisors (see below), whose sum is σ = 320060287542600. Its totient is φ = 55043717818880.

The previous prime is 137634816637397. The next prime is 137634816637427. The reversal of 137634816637400 is 4736618436731.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 137634816637400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62723930 + ... + 64881129.

Almost surely, 2^{137634816637400} is an apocalyptic number.

137634816637400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137634816637400 is an abundant number, since it is smaller than the sum of its proper divisors (182425470905200).

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

137634816637400 is a wasteful number, since it uses less digits than its factorization.

137634816637400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127610468 (or 127610459 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 59.

The spelling of 137634816637400 in words is "one hundred thirty-seven trillion, six hundred thirty-four billion, eight hundred sixteen million, six hundred thirty-seven thousand, four hundred".