138340410 has 64 divisors (see below), whose sum is σ = 367258752. Its totient is φ = 33129216.

The previous prime is 138340409. The next prime is 138340421. The reversal of 138340410 is 14043831.

138340410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9637 + ... + 19223.

It is an arithmetic number, because the mean of its divisors is an integer number (5738418).

Almost surely, 2^138340410 is an apocalyptic number.

138340410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138340410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183629376).

138340410 is an abundant number, since it is smaller than the sum of its proper divisors (228918342).

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

138340410 is a wasteful number, since it uses less digits than its factorization.

138340410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9647.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 138340410 is about 11761.8200122260. The cubic root of 138340410 is about 517.1894844227.

The spelling of 138340410 in words is "one hundred thirty-eight million, three hundred forty thousand, four hundred ten".