138522761253720 has 864 divisors, whose sum is σ = 472817213556480. Its totient is φ = 35170389596160.

The previous prime is 138522761253647. The next prime is 138522761253839. The reversal of 138522761253720 is 27352167225831.

138522761253720 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 2 + 2 + 76 + 12 + 537 + 20 = 666.

It is a super-2 number, since 2×138522761253720² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 442564732284 + ... + 442564732596.

It is an arithmetic number, because the mean of its divisors is an integer number (547242145320).

Almost surely, 2^{138522761253720} is an apocalyptic number.

138522761253720 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 138522761253720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236408606778240).

138522761253720 is an abundant number, since it is smaller than the sum of its proper divisors (334294452302760).

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

138522761253720 is a wasteful number, since it uses less digits than its factorization.

138522761253720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 138522761253720 in words is "one hundred thirty-eight trillion, five hundred twenty-two billion, seven hundred sixty-one million, two hundred fifty-three thousand, seven hundred twenty".