138853839040 has 224 divisors, whose sum is σ = 381615696000. Its totient is φ = 47138734080.

The previous prime is 138853839017. The next prime is 138853839043. The reversal of 138853839040 is 40938358831.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×138853839040² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (138853839043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180563776 + ... + 180564544.

It is an arithmetic number, because the mean of its divisors is an integer number (1703641500).

Almost surely, 2^138853839040 is an apocalyptic number.

138853839040 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 138853839040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190807848000).

138853839040 is an abundant number, since it is smaller than the sum of its proper divisors (242761856960).

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

138853839040 is a wasteful number, since it uses less digits than its factorization.

138853839040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 52.

The spelling of 138853839040 in words is "one hundred thirty-eight billion, eight hundred fifty-three million, eight hundred thirty-nine thousand, forty".