138636336827520 has 2304 divisors, whose sum is σ = 599208049440000. Its totient is φ = 30504549777408.

The previous prime is 138636336827503. The next prime is 138636336827537. The reversal of 138636336827520 is 25728633636831.

138636336827520 is a `hidden beast` number, since 1 + 3 + 8 + 6 + 3 + 6 + 336 + 8 + 275 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (138636336827503) and next prime (138636336827537).

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 287 ways as a sum of consecutive naturals, for example, 97016330166 + ... + 97016331594.

It is an arithmetic number, because the mean of its divisors is an integer number (260072938125).

Almost surely, 2^{138636336827520} is an apocalyptic number.

138636336827520 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 138636336827520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299604024720000).

138636336827520 is an abundant number, since it is smaller than the sum of its proper divisors (460571712612480).

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

138636336827520 is a wasteful number, since it uses less digits than its factorization.

138636336827520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 138636336827520 in words is "one hundred thirty-eight trillion, six hundred thirty-six billion, three hundred thirty-six million, eight hundred twenty-seven thousand, five hundred twenty".