138916470 has 192 divisors, whose sum is σ = 432594432. Its totient is φ = 28459200.

The previous prime is 138916447. The next prime is 138916483. The reversal of 138916470 is 74619831.

138916470 = T₂₂₂₀ + T₂₂₂₁ + ... + T₂₂₇₄.

138916470 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1956535 + ... + 1956605.

It is an arithmetic number, because the mean of its divisors is an integer number (2253096).

Almost surely, 2^138916470 is an apocalyptic number.

138916470 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 138916470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216297216).

138916470 is an abundant number, since it is smaller than the sum of its proper divisors (293677962).

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

138916470 is a wasteful number, since it uses less digits than its factorization.

138916470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 138916470 is about 11786.2831291294. The cubic root of 138916470 is about 517.9063624267.

The spelling of 138916470 in words is "one hundred thirty-eight million, nine hundred sixteen thousand, four hundred seventy".