138767904 has 240 divisors, whose sum is σ = 462502656. Its totient is φ = 40435200.

The previous prime is 138767899. The next prime is 138767917. The reversal of 138767904 is 409767831.

It is a self number, because there is not a number n which added to its sum of digits gives 138767904.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 883794 + ... + 883950.

Almost surely, 2^138767904 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 138767904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231251328).

138767904 is an abundant number, since it is smaller than the sum of its proper divisors (323734752).

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

138767904 is a wasteful number, since it uses less digits than its factorization.

138767904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 138767904 is about 11779.9789473496. The cubic root of 138767904 is about 517.7216693703.

The spelling of 138767904 in words is "one hundred thirty-eight million, seven hundred sixty-seven thousand, nine hundred four".