138910464 has 432 divisors, whose sum is σ = 535691520. Its totient is φ = 34836480.

The previous prime is 138910423. The next prime is 138910477. The reversal of 138910464 is 464019831.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×138910464² = 38592234017390592, which contains 22 as substring.

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

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, 4790002 + ... + 4790030.

Almost surely, 2^138910464 is an apocalyptic number.

138910464 is a gapful number since it is divisible by the number (14) 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 138910464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267845760).

138910464 is an abundant number, since it is smaller than the sum of its proper divisors (396781056).

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

138910464 is an equidigital number, since it uses as much as digits as its factorization.

138910464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 138910464 is about 11786.0283386729. The cubic root of 138910464 is about 517.8988984919.

The spelling of 138910464 in words is "one hundred thirty-eight million, nine hundred ten thousand, four hundred sixty-four".