137513131389 has 48 divisors (see below), whose sum is σ = 210215678400. Its totient is φ = 86381779968.

The previous prime is 137513131367. The next prime is 137513131391. The reversal of 137513131389 is 983131315731.

137513131389 is a `hidden beast` number, since 1 + 37 + 513 + 13 + 13 + 89 = 666.

137513131389 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137513131389 - 2³¹ = 135365647741 is a prime.

It is a super-2 number, since 2×137513131389² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137513631389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25289379 + ... + 25294815.

It is an arithmetic number, because the mean of its divisors is an integer number (4379493300).

Almost surely, 2^137513131389 is an apocalyptic number.

137513131389 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

137513131389 is a deficient number, since it is larger than the sum of its proper divisors (72702547011).

137513131389 is a wasteful number, since it uses less digits than its factorization.

137513131389 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6234 (or 6231 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The spelling of 137513131389 in words is "one hundred thirty-seven billion, five hundred thirteen million, one hundred thirty-one thousand, three hundred eighty-nine".