138760289084160 has 288 divisors, whose sum is σ = 492435807252480. Its totient is φ = 37000526671872.

The previous prime is 138760289084119. The next prime is 138760289084189. The reversal of 138760289084160 is 61480982067831.

138760289084160 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 602 + 8 + 9 + 0 + 8 + 4 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 623454817 + ... + 623677343.

It is an arithmetic number, because the mean of its divisors is an integer number (1709846552960).

Almost surely, 2^{138760289084160} is an apocalyptic number.

138760289084160 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 138760289084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246217903626240).

138760289084160 is an abundant number, since it is smaller than the sum of its proper divisors (353675518168320).

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

138760289084160 is a wasteful number, since it uses less digits than its factorization.

138760289084160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240600 (or 240580 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 138760289084160 in words is "one hundred thirty-eight trillion, seven hundred sixty billion, two hundred eighty-nine million, eighty-four thousand, one hundred sixty".