138667913280 has 896 divisors, whose sum is σ = 550933071360. Its totient is φ = 32606945280.

The previous prime is 138667913273. The next prime is 138667913297. The reversal of 138667913280 is 82319766831.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 253505967 + ... + 253506513.

It is an arithmetic number, because the mean of its divisors is an integer number (614880660).

Almost surely, 2^138667913280 is an apocalyptic number.

138667913280 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 138667913280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275466535680).

138667913280 is an abundant number, since it is smaller than the sum of its proper divisors (412265158080).

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

138667913280 is a wasteful number, since it uses less digits than its factorization.

138667913280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 138667913280 in words is "one hundred thirty-eight billion, six hundred sixty-seven million, nine hundred thirteen thousand, two hundred eighty".