138177280512 has 240 divisors, whose sum is σ = 435332657760. Its totient is φ = 43634184192.

The previous prime is 138177280511. The next prime is 138177280517. The reversal of 138177280512 is 215082771831.

It is not an unprimeable number, because it can be changed into a prime (138177280511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2334678 + ... + 2393130.

It is an arithmetic number, because the mean of its divisors is an integer number (1813886074).

Almost surely, 2^138177280512 is an apocalyptic number.

138177280512 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 138177280512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217666328880).

138177280512 is an abundant number, since it is smaller than the sum of its proper divisors (297155377248).

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

138177280512 is an frugal number, since it uses more digits than its factorization.

138177280512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58505 (or 58477 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 138177280512 in words is "one hundred thirty-eight billion, one hundred seventy-seven million, two hundred eighty thousand, five hundred twelve".