138272992 has 144 divisors (see below), whose sum is σ = 335025936. Its totient is φ = 55756800.

The previous prime is 138272983. The next prime is 138273001. The reversal of 138272992 is 299272831.

It is an interprime number because it is at equal distance from previous prime (138272983) and next prime (138273001).

It is a congruent number.

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, 2063743 + ... + 2063809.

It is an arithmetic number, because the mean of its divisors is an integer number (2326569).

Almost surely, 2^138272992 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 138272992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167512968).

138272992 is an abundant number, since it is smaller than the sum of its proper divisors (196752944).

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

138272992 is a wasteful number, since it uses less digits than its factorization.

138272992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 134 counting only the distinct ones).

The product of its digits is 108864, while the sum is 43.

The square root of 138272992 is about 11758.9536949509. The cubic root of 138272992 is about 517.1054560796.

The spelling of 138272992 in words is "one hundred thirty-eight million, two hundred seventy-two thousand, nine hundred ninety-two".