138600759960 has 768 divisors, whose sum is σ = 557819136000. Its totient is φ = 30407270400.

The previous prime is 138600759959. The next prime is 138600760003. The reversal of 138600759960 is 69957006831.

It is a super-2 number, since 2×138600759960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 138600759897 and 138600759906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58952785 + ... + 58955135.

It is an arithmetic number, because the mean of its divisors is an integer number (726327000).

Almost surely, 2^138600759960 is an apocalyptic number.

138600759960 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 138600759960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278909568000).

138600759960 is an abundant number, since it is smaller than the sum of its proper divisors (419218376040).

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

138600759960 is a wasteful number, since it uses less digits than its factorization.

138600759960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2433 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 138600759960 in words is "one hundred thirty-eight billion, six hundred million, seven hundred fifty-nine thousand, nine hundred sixty".