138093672 has 32 divisors (see below), whose sum is σ = 363405600. Its totient is φ = 43608384.

The previous prime is 138093649. The next prime is 138093677. The reversal of 138093672 is 276390831.

It is a self number, because there is not a number n which added to its sum of digits gives 138093672.

It is not an unprimeable number, because it can be changed into a prime (138093677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150963 + ... + 151874.

It is an arithmetic number, because the mean of its divisors is an integer number (11356425).

Almost surely, 2^138093672 is an apocalyptic number.

138093672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138093672 is an abundant number, since it is smaller than the sum of its proper divisors (225311928).

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

138093672 is a wasteful number, since it uses less digits than its factorization.

138093672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302865 (or 302861 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 138093672 is about 11751.3263932205. The cubic root of 138093672 is about 516.8818224724.

The spelling of 138093672 in words is "one hundred thirty-eight million, ninety-three thousand, six hundred seventy-two".