138201280 has 112 divisors (see below), whose sum is σ = 380390400. Its totient is φ = 46844928.

The previous prime is 138201251. The next prime is 138201281. The reversal of 138201280 is 82102831.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (138201281) 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, 230421 + ... + 231019.

Almost surely, 2^138201280 is an apocalyptic number.

138201280 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 138201280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190195200).

138201280 is an abundant number, since it is smaller than the sum of its proper divisors (242189120).

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

138201280 is a wasteful number, since it uses less digits than its factorization.

138201280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 138201280 is about 11755.9040486047. The cubic root of 138201280 is about 517.0160458039.

The spelling of 138201280 in words is "one hundred thirty-eight million, two hundred one thousand, two hundred eighty".