138476738160 has 480 divisors, whose sum is σ = 513207152640. Its totient is φ = 34580680704.

The previous prime is 138476738149. The next prime is 138476738203. The reversal of 138476738160 is 61837674831.

138476738160 is a `hidden beast` number, since 1 + 3 + 8 + 476 + 7 + 3 + 8 + 160 = 666.

138476738160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×138476738160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 138476738097 and 138476738106.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 73696101 + ... + 73697979.

It is an arithmetic number, because the mean of its divisors is an integer number (1069181568).

Almost surely, 2^138476738160 is an apocalyptic number.

138476738160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138476738160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256603576320).

138476738160 is an abundant number, since it is smaller than the sum of its proper divisors (374730414480).

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

138476738160 is a wasteful number, since it uses less digits than its factorization.

138476738160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 138476738160 in words is "one hundred thirty-eight billion, four hundred seventy-six million, seven hundred thirty-eight thousand, one hundred sixty".