138149376 has 80 divisors (see below), whose sum is σ = 375203664. Its totient is φ = 45154304.

The previous prime is 138149371. The next prime is 138149383. The reversal of 138149376 is 673941831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138149371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80560 + ... + 82256.

Almost surely, 2^138149376 is an apocalyptic number.

138149376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138149376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187601832).

138149376 is an abundant number, since it is smaller than the sum of its proper divisors (237054288).

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

138149376 is an equidigital number, since it uses as much as digits as its factorization.

138149376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1755 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 138149376 is about 11753.6962696847. The cubic root of 138149376 is about 516.9513127782.

The spelling of 138149376 in words is "one hundred thirty-eight million, one hundred forty-nine thousand, three hundred seventy-six".