138305292 has 24 divisors (see below), whose sum is σ = 333841200. Its totient is φ = 44511936.

The previous prime is 138305281. The next prime is 138305303. The reversal of 138305292 is 292503831.

138305292 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (138305281) and next prime (138305303).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198367 + ... + 199062.

It is an arithmetic number, because the mean of its divisors is an integer number (13910050).

Almost surely, 2^138305292 is an apocalyptic number.

138305292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138305292 is an abundant number, since it is smaller than the sum of its proper divisors (195535908).

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

138305292 is a wasteful number, since it uses less digits than its factorization.

138305292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397465 (or 397463 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 138305292 is about 11760.3270362690. The cubic root of 138305292 is about 517.1457175113.

The spelling of 138305292 in words is "one hundred thirty-eight million, three hundred five thousand, two hundred ninety-two".