138416640 has 160 divisors (see below), whose sum is σ = 450774720. Its totient is φ = 36225024.

The previous prime is 138416563. The next prime is 138416651. The reversal of 138416640 is 46614831.

138416640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 514426 + ... + 514694.

It is an arithmetic number, because the mean of its divisors is an integer number (2817342).

Almost surely, 2^138416640 is an apocalyptic number.

138416640 is a gapful number since it is divisible by the number (10) 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 138416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225387360).

138416640 is an abundant number, since it is smaller than the sum of its proper divisors (312358080).

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

138416640 is an equidigital number, since it uses as much as digits as its factorization.

138416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 138416640 is about 11765.0601358429. The cubic root of 138416640 is about 517.2844629737.

The spelling of 138416640 in words is "one hundred thirty-eight million, four hundred sixteen thousand, six hundred forty".