138406374 has 64 divisors (see below), whose sum is σ = 325593600. Its totient is φ = 43460064.

The previous prime is 138406369. The next prime is 138406421. The reversal of 138406374 is 473604831.

138406374 is a `hidden beast` number, since 13 + 8 + 4 + 0 + 637 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283959 + ... + 284445.

It is an arithmetic number, because the mean of its divisors is an integer number (5087400).

Almost surely, 2^138406374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138406374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162796800).

138406374 is an abundant number, since it is smaller than the sum of its proper divisors (187187226).

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

138406374 is a wasteful number, since it uses less digits than its factorization.

138406374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 138406374 is about 11764.6238358904. The cubic root of 138406374 is about 517.2716741125.

The spelling of 138406374 in words is "one hundred thirty-eight million, four hundred six thousand, three hundred seventy-four".