137139800790 has 128 divisors (see below), whose sum is σ = 345072752640. Its totient is φ = 34850995200.

The previous prime is 137139800729. The next prime is 137139800801. The reversal of 137139800790 is 97008931731.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9511767 + ... + 9526173.

It is an arithmetic number, because the mean of its divisors is an integer number (2695880880).

Almost surely, 2^137139800790 is an apocalyptic number.

137139800790 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 137139800790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172536376320).

137139800790 is an abundant number, since it is smaller than the sum of its proper divisors (207932951850).

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

137139800790 is a wasteful number, since it uses less digits than its factorization.

137139800790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14638.

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

The spelling of 137139800790 in words is "one hundred thirty-seven billion, one hundred thirty-nine million, eight hundred thousand, seven hundred ninety".