138276292 has 96 divisors (see below), whose sum is σ = 317157120. Its totient is φ = 51179520.

The previous prime is 138276269. The next prime is 138276293. The reversal of 138276292 is 292672831.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (138276293) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1009248 + ... + 1009384.

It is an arithmetic number, because the mean of its divisors is an integer number (3303720).

Almost surely, 2^138276292 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 138276292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158578560).

138276292 is an abundant number, since it is smaller than the sum of its proper divisors (178880828).

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

138276292 is a wasteful number, since it uses less digits than its factorization.

138276292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 299 counting only the distinct ones).

The product of its digits is 72576, while the sum is 40.

The square root of 138276292 is about 11759.0940127205. The cubic root of 138276292 is about 517.1095697642.

The spelling of 138276292 in words is "one hundred thirty-eight million, two hundred seventy-six thousand, two hundred ninety-two".