138113280 has 216 divisors, whose sum is σ = 503805120. Its totient is φ = 34836480.

The previous prime is 138113257. The next prime is 138113281. The reversal of 138113280 is 82311831.

138113280 is a `hidden beast` number, since 1 + 381 + 1 + 3 + 280 = 666.

It is a super-2 number, since 2×138113280² = 38150556224716800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (138113281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218565 + ... + 219195.

Almost surely, 2^138113280 is an apocalyptic number.

138113280 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 138113280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251902560).

138113280 is an abundant number, since it is smaller than the sum of its proper divisors (365691840).

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

138113280 is a wasteful number, since it uses less digits than its factorization.

138113280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 138113280 is about 11752.1606524077. The cubic root of 138113280 is about 516.9062854305.

The spelling of 138113280 in words is "one hundred thirty-eight million, one hundred thirteen thousand, two hundred eighty".