138011138640 has 120 divisors (see below), whose sum is σ = 465211061640. Its totient is φ = 36666104832.

The previous prime is 138011138627. The next prime is 138011138651. The reversal of 138011138640 is 46831110831.

138011138640 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 1 + 1 + 1 + 3 + 8 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3342689856 + 134668448784 = 57816^2 + 366972^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 138011138595 and 138011138604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162607 + ... + 549966.

It is an arithmetic number, because the mean of its divisors is an integer number (3876758847).

Almost surely, 2^138011138640 is an apocalyptic number.

138011138640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138011138640 is an abundant number, since it is smaller than the sum of its proper divisors (327199923000).

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

138011138640 is a wasteful number, since it uses less digits than its factorization.

138011138640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712861 (or 712852 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 138011138640 in words is "one hundred thirty-eight billion, eleven million, one hundred thirty-eight thousand, six hundred forty".