138791913270192 has 480 divisors, whose sum is σ = 484444673556480. Its totient is φ = 36116310896640.

The previous prime is 138791913270187. The next prime is 138791913270217. The reversal of 138791913270192 is 291072319197831.

138791913270192 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 91 + 91 + 3 + 270 + 192 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1533109633 + ... + 1533200159.

It is an arithmetic number, because the mean of its divisors is an integer number (1009259736576).

Almost surely, 2^{138791913270192} is an apocalyptic number.

138791913270192 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 138791913270192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242222336778240).

138791913270192 is an abundant number, since it is smaller than the sum of its proper divisors (345652760286288).

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

138791913270192 is a wasteful number, since it uses less digits than its factorization.

138791913270192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92121 (or 92112 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 63.

The spelling of 138791913270192 in words is "one hundred thirty-eight trillion, seven hundred ninety-one billion, nine hundred thirteen million, two hundred seventy thousand, one hundred ninety-two".