138280949408 has 96 divisors (see below), whose sum is σ = 320294217600. Its totient is φ = 58738283520.

The previous prime is 138280949407. The next prime is 138280949423. The reversal of 138280949408 is 804949082831.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (138280949407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1184543 + ... + 1296033.

It is an arithmetic number, because the mean of its divisors is an integer number (3336398100).

Almost surely, 2^138280949408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138280949408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160147108800).

138280949408 is an abundant number, since it is smaller than the sum of its proper divisors (182013268192).

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

138280949408 is a wasteful number, since it uses less digits than its factorization.

138280949408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111635 (or 111613 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 56.

The spelling of 138280949408 in words is "one hundred thirty-eight billion, two hundred eighty million, nine hundred forty-nine thousand, four hundred eight".