137638950624 has 360 divisors, whose sum is σ = 495672768360. Its totient is φ = 37255002624.

The previous prime is 137638950613. The next prime is 137638950641. The reversal of 137638950624 is 426059836731.

137638950624 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 3 + 8 + 9 + 5 + 0 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2384634 + ... + 2441670.

It is an arithmetic number, because the mean of its divisors is an integer number (1376868801).

It is a 1-persistent number, because it is pandigital, but 2⋅137638950624 = 275277901248 is not.

Almost surely, 2^137638950624 is an apocalyptic number.

137638950624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137638950624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247836384180).

137638950624 is an abundant number, since it is smaller than the sum of its proper divisors (358033817736).

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

137638950624 is a wasteful number, since it uses less digits than its factorization.

137638950624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57092 (or 57068 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 137638950624 in words is "one hundred thirty-seven billion, six hundred thirty-eight million, nine hundred fifty thousand, six hundred twenty-four".