138904077312 has 1320 divisors, whose sum is σ = 569244170880. Its totient is φ = 33164328960.

The previous prime is 138904077311. The next prime is 138904077313. The reversal of 138904077312 is 213770409831.

It is an interprime number because it is at equal distance from previous prime (138904077311) and next prime (138904077313).

It is not an unprimeable number, because it can be changed into a prime (138904077311) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 581188489 + ... + 581188727.

It is an arithmetic number, because the mean of its divisors is an integer number (431245584).

Almost surely, 2^138904077312 is an apocalyptic number.

138904077312 is a gapful number since it is divisible by the number (12) 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 138904077312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284622085440).

138904077312 is an abundant number, since it is smaller than the sum of its proper divisors (430340093568).

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

138904077312 is a wasteful number, since it uses less digits than its factorization.

138904077312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 138904077312 in words is "one hundred thirty-eight billion, nine hundred four million, seventy-seven thousand, three hundred twelve".