138153756500 has 48 divisors (see below), whose sum is σ = 301822496976. Its totient is φ = 55244160000.

The previous prime is 138153756467. The next prime is 138153756529. The reversal of 138153756500 is 5657351831.

It can be written as a sum of positive squares in 8 ways, for example, as 9017021764 + 129136734736 = 94958^2 + 359356^2 .

It is a super-2 number, since 2×138153756500² (a number of 23 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 15 ways as a sum of consecutive naturals, for example, 1614800 + ... + 1698200.

It is an arithmetic number, because the mean of its divisors is an integer number (6287968687).

Almost surely, 2^138153756500 is an apocalyptic number.

138153756500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138153756500 is an abundant number, since it is smaller than the sum of its proper divisors (163668740476).

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

138153756500 is a wasteful number, since it uses less digits than its factorization.

138153756500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86733 (or 86721 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 44.

The spelling of 138153756500 in words is "one hundred thirty-eight billion, one hundred fifty-three million, seven hundred fifty-six thousand, five hundred".