137907810390 has 192 divisors, whose sum is σ = 405965053440. Its totient is φ = 29812285440.

The previous prime is 137907810347. The next prime is 137907810421. The reversal of 137907810390 is 93018709731.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17899279 + ... + 17906981.

It is an arithmetic number, because the mean of its divisors is an integer number (2114401320).

Almost surely, 2^137907810390 is an apocalyptic number.

137907810390 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 137907810390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202982526720).

137907810390 is an abundant number, since it is smaller than the sum of its proper divisors (268057243050).

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

137907810390 is a wasteful number, since it uses less digits than its factorization.

137907810390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8387 (or 8380 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 48.

The spelling of 137907810390 in words is "one hundred thirty-seven billion, nine hundred seven million, eight hundred ten thousand, three hundred ninety".