138344976 has 160 divisors (see below), whose sum is σ = 495206400. Its totient is φ = 35925120.

The previous prime is 138344959. The next prime is 138345013. The reversal of 138344976 is 679443831.

138344976 is a `hidden beast` number, since 138 + 3 + 449 + 76 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 31185 + ... + 35343.

It is an arithmetic number, because the mean of its divisors is an integer number (3095040).

Almost surely, 2^138344976 is an apocalyptic number.

138344976 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 138344976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247603200).

138344976 is an abundant number, since it is smaller than the sum of its proper divisors (356861424).

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

138344976 is a wasteful number, since it uses less digits than its factorization.

138344976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4194 (or 4182 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 138344976 is about 11762.0141132376. The cubic root of 138344976 is about 517.1951743996.

The spelling of 138344976 in words is "one hundred thirty-eight million, three hundred forty-four thousand, nine hundred seventy-six".