138123312 has 40 divisors (see below), whose sum is σ = 375600960. Its totient is φ = 43617600.

The previous prime is 138123311. The next prime is 138123319. The reversal of 138123312 is 213321831.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (138123311) 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, 74814 + ... + 76637.

It is an arithmetic number, because the mean of its divisors is an integer number (9390024).

Almost surely, 2^138123312 is an apocalyptic number.

138123312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138123312 is an abundant number, since it is smaller than the sum of its proper divisors (237477648).

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

138123312 is a wasteful number, since it uses less digits than its factorization.

138123312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151481 (or 151475 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 138123312 is about 11752.5874597894. The cubic root of 138123312 is about 516.9188004672.

The spelling of 138123312 in words is "one hundred thirty-eight million, one hundred twenty-three thousand, three hundred twelve".