138495977360 has 40 divisors (see below), whose sum is σ = 346772622840. Its totient is φ = 51136975872.

The previous prime is 138495977311. The next prime is 138495977413. The reversal of 138495977360 is 63779594831.

It can be written as a sum of positive squares in 4 ways, for example, as 358875136 + 138137102224 = 18944^2 + 371668^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×138495977360² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 138495977293 and 138495977302.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66583565 + ... + 66585644.

It is an arithmetic number, because the mean of its divisors is an integer number (8669315571).

Almost surely, 2^138495977360 is an apocalyptic number.

138495977360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138495977360 is an abundant number, since it is smaller than the sum of its proper divisors (208276645480).

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

138495977360 is a wasteful number, since it uses less digits than its factorization.

138495977360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133169235 (or 133169229 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 62.

The spelling of 138495977360 in words is "one hundred thirty-eight billion, four hundred ninety-five million, nine hundred seventy-seven thousand, three hundred sixty".