137990679750 has 384 divisors, whose sum is σ = 480222093312. Its totient is φ = 27747360000.

The previous prime is 137990679737. The next prime is 137990679769. The reversal of 137990679750 is 57976099731.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5357904 + ... + 5383596.

It is an arithmetic number, because the mean of its divisors is an integer number (1250578368).

Almost surely, 2^137990679750 is an apocalyptic number.

137990679750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137990679750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240111046656).

137990679750 is an abundant number, since it is smaller than the sum of its proper divisors (342231413562).

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

137990679750 is a wasteful number, since it uses less digits than its factorization.

137990679750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25765 (or 25752 counting only the distinct ones).

The product of its (nonzero) digits is 22504230, while the sum is 63.

The spelling of 137990679750 in words is "one hundred thirty-seven billion, nine hundred ninety million, six hundred seventy-nine thousand, seven hundred fifty".