138424704 has 64 divisors (see below), whose sum is σ = 401129280. Its totient is φ = 41945600.

The previous prime is 138424691. The next prime is 138424721. The reversal of 138424704 is 407424831.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×138424704² = 38322797354975232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12162 + ... + 20609.

It is an arithmetic number, because the mean of its divisors is an integer number (6267645).

Almost surely, 2^138424704 is an apocalyptic number.

It is an amenable number.

138424704 is an abundant number, since it is smaller than the sum of its proper divisors (262704576).

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

138424704 is a wasteful number, since it uses less digits than its factorization.

138424704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32799 (or 32787 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 138424704 is about 11765.4028405321. The cubic root of 138424704 is about 517.2945082517.

It can be divided in two parts, 138424 and 704, that added together give a triangular number (139128 = T₅₂₇).

The spelling of 138424704 in words is "one hundred thirty-eight million, four hundred twenty-four thousand, seven hundred four".