138361376 has 48 divisors (see below), whose sum is σ = 289687104. Its totient is φ = 64905984.

The previous prime is 138361367. The next prime is 138361387. The reversal of 138361376 is 673163831.

It is a super-2 number, since 2×138361376² = 38287740737226752, which contains 22 as substring.

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, 37235 + ... + 40781.

It is an arithmetic number, because the mean of its divisors is an integer number (6035148).

Almost surely, 2^138361376 is an apocalyptic number.

138361376 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 138361376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144843552).

138361376 is an abundant number, since it is smaller than the sum of its proper divisors (151325728).

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

138361376 is a wasteful number, since it uses less digits than its factorization.

138361376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633 (or 3625 counting only the distinct ones).

The product of its digits is 54432, while the sum is 38.

The square root of 138361376 is about 11762.7112520881. The cubic root of 138361376 is about 517.2156104283.

The spelling of 138361376 in words is "one hundred thirty-eight million, three hundred sixty-one thousand, three hundred seventy-six".