138917376 has 160 divisors (see below), whose sum is σ = 443409120. Its totient is φ = 42688512.

The previous prime is 138917371. The next prime is 138917381. The reversal of 138917376 is 673719831.

It is an interprime number because it is at equal distance from previous prime (138917371) and next prime (138917381).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138917371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179326 + ... + 180098.

It is an arithmetic number, because the mean of its divisors is an integer number (2771307).

Almost surely, 2^138917376 is an apocalyptic number.

138917376 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 138917376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221704560).

138917376 is an abundant number, since it is smaller than the sum of its proper divisors (304491744).

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

138917376 is an equidigital number, since it uses as much as digits as its factorization.

138917376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 791 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 138917376 is about 11786.3215635753. The cubic root of 138917376 is about 517.9074883363.

The spelling of 138917376 in words is "one hundred thirty-eight million, nine hundred seventeen thousand, three hundred seventy-six".