138349100 has 72 divisors (see below), whose sum is σ = 309355200. Its totient is φ = 53684800.

The previous prime is 138349073. The next prime is 138349139. The reversal of 138349100 is 1943831.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 772811 + ... + 772989.

It is an arithmetic number, because the mean of its divisors is an integer number (4296600).

Almost surely, 2^138349100 is an apocalyptic number.

138349100 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 138349100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154677600).

138349100 is an abundant number, since it is smaller than the sum of its proper divisors (171006100).

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

138349100 is a wasteful number, since it uses less digits than its factorization.

138349100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 138349100 is about 11762.1894220421. The cubic root of 138349100 is about 517.2003134651.

The spelling of 138349100 in words is "one hundred thirty-eight million, three hundred forty-nine thousand, one hundred".