138636311029632 has 768 divisors, whose sum is σ = 468571993344000. Its totient is φ = 38962532597760.

The previous prime is 138636311029591. The next prime is 138636311029691. The reversal of 138636311029632 is 236920113636831.

138636311029632 is a `hidden beast` number, since 1 + 3 + 8 + 6 + 3 + 6 + 311 + 0 + 296 + 32 = 666.

It is a congruent number.

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, 2372783203 + ... + 2372841629.

It is an arithmetic number, because the mean of its divisors is an integer number (610119783000).

Almost surely, 2^{138636311029632} is an apocalyptic number.

138636311029632 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 138636311029632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234285996672000).

138636311029632 is an abundant number, since it is smaller than the sum of its proper divisors (329935682314368).

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

138636311029632 is a wasteful number, since it uses less digits than its factorization.

138636311029632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58779 (or 58764 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 138636311029632 in words is "one hundred thirty-eight trillion, six hundred thirty-six billion, three hundred eleven million, twenty-nine thousand, six hundred thirty-two".