138151006395120 has 1280 divisors, whose sum is σ = 505580440780800. Its totient is φ = 34605539020800.

The previous prime is 138151006395049. The next prime is 138151006395209. The reversal of 138151006395120 is 21593600151831.

138151006395120 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 5 + 1 + 0 + 0 + 639 + 5 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 450003278007 + ... + 450003278313.

It is an arithmetic number, because the mean of its divisors is an integer number (394984719360).

Almost surely, 2^{138151006395120} is an apocalyptic number.

138151006395120 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 138151006395120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252790220390400).

138151006395120 is an abundant number, since it is smaller than the sum of its proper divisors (367429434385680).

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

138151006395120 is a wasteful number, since it uses less digits than its factorization.

138151006395120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 138151006395120 in words is "one hundred thirty-eight trillion, one hundred fifty-one billion, six million, three hundred ninety-five thousand, one hundred twenty".