138997436760 has 576 divisors, whose sum is σ = 574219039680. Its totient is φ = 28531077120.

The previous prime is 138997436759. The next prime is 138997436777. The reversal of 138997436760 is 67634799831.

138997436760 is a `hidden beast` number, since 138 + 9 + 9 + 7 + 436 + 7 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15753150 + ... + 15761970.

It is an arithmetic number, because the mean of its divisors is an integer number (996908055).

Almost surely, 2^138997436760 is an apocalyptic number.

138997436760 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 138997436760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287109519840).

138997436760 is an abundant number, since it is smaller than the sum of its proper divisors (435221602920).

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

138997436760 is a wasteful number, since it uses less digits than its factorization.

138997436760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8908 (or 8888 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 138997436760 in words is "one hundred thirty-eight billion, nine hundred ninety-seven million, four hundred thirty-six thousand, seven hundred sixty".