138430656 has 336 divisors, whose sum is σ = 517753600. Its totient is φ = 34338816.

The previous prime is 138430639. The next prime is 138430681. The reversal of 138430656 is 656034831.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 138430656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 995835 + ... + 995973.

Almost surely, 2^138430656 is an apocalyptic number.

138430656 is a gapful number since it is divisible by the number (16) 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 138430656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258876800).

138430656 is an abundant number, since it is smaller than the sum of its proper divisors (379322944).

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

138430656 is a wasteful number, since it uses less digits than its factorization.

138430656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 138430656 is about 11765.6557828283. The cubic root of 138430656 is about 517.3019223734.

The spelling of 138430656 in words is "one hundred thirty-eight million, four hundred thirty thousand, six hundred fifty-six".