138148683523920 has 360 divisors, whose sum is σ = 485755555357800. Its totient is φ = 35182889533440.

The previous prime is 138148683523901. The next prime is 138148683523931. The reversal of 138148683523920 is 29325386841831.

138148683523920 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 4 + 8 + 6 + 83 + 523 + 9 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30757494851136 + 107391188672784 = 5545944^2 + 10362972^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 243861156 + ... + 244427004.

It is an arithmetic number, because the mean of its divisors is an integer number (1349320987105).

Almost surely, 2^{138148683523920} is an apocalyptic number.

138148683523920 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 138148683523920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242877777678900).

138148683523920 is an abundant number, since it is smaller than the sum of its proper divisors (347606871833880).

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

138148683523920 is a wasteful number, since it uses less digits than its factorization.

138148683523920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566555 (or 566523 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 138148683523920 in words is "one hundred thirty-eight trillion, one hundred forty-eight billion, six hundred eighty-three million, five hundred twenty-three thousand, nine hundred twenty".