138860378376192 has 768 divisors, whose sum is σ = 476534088576000. Its totient is φ = 39511071129600.

The previous prime is 138860378376133. The next prime is 138860378376227. The reversal of 138860378376192 is 291673873068831.

138860378376192 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 60 + 3 + 7 + 8 + 376 + 192 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 138860378376192.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1305872467 + ... + 1305978797.

It is an arithmetic number, because the mean of its divisors is an integer number (620487094500).

Almost surely, 2^{138860378376192} is an apocalyptic number.

138860378376192 is a gapful number since it is divisible by the number (12) 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 138860378376192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238267044288000).

138860378376192 is an abundant number, since it is smaller than the sum of its proper divisors (337673710199808).

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

138860378376192 is a wasteful number, since it uses less digits than its factorization.

138860378376192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106505 (or 106479 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 138860378376192 in words is "one hundred thirty-eight trillion, eight hundred sixty billion, three hundred seventy-eight million, three hundred seventy-six thousand, one hundred ninety-two".