138784416 has 24 divisors (see below), whose sum is σ = 364309344. Its totient is φ = 46261440.

The previous prime is 138784409. The next prime is 138784423. The reversal of 138784416 is 614487831.

It is an interprime number because it is at equal distance from previous prime (138784409) and next prime (138784423).

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×138784416² = 38522228248922112, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 722740 + ... + 722931.

It is an arithmetic number, because the mean of its divisors is an integer number (15179556).

Almost surely, 2^138784416 is an apocalyptic number.

138784416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

138784416 is an abundant number, since it is smaller than the sum of its proper divisors (225524928).

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

138784416 is a wasteful number, since it uses less digits than its factorization.

138784416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445684 (or 1445676 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 138784416 is about 11780.6797766513. The cubic root of 138784416 is about 517.7422031319.

The spelling of 138784416 in words is "one hundred thirty-eight million, seven hundred eighty-four thousand, four hundred sixteen".