138294864 has 100 divisors (see below), whose sum is σ = 423878004. Its totient is φ = 43379712.

The previous prime is 138294857. The next prime is 138294889. The reversal of 138294864 is 468492831.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 124545600 + 13749264 = 11160^2 + 3708^2 .

It is a super-3 number, since 3×138294864³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18894 + ... + 25170.

Almost surely, 2^138294864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138294864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211939002).

138294864 is an abundant number, since it is smaller than the sum of its proper divisors (285583140).

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

138294864 is a wasteful number, since it uses less digits than its factorization.

138294864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6314 (or 6299 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 138294864 is about 11759.8836728940. The cubic root of 138294864 is about 517.1327198619.

The spelling of 138294864 in words is "one hundred thirty-eight million, two hundred ninety-four thousand, eight hundred sixty-four".