138184704 has 360 divisors, whose sum is σ = 508377870. Its totient is φ = 37158912.

The previous prime is 138184699. The next prime is 138184729. The reversal of 138184704 is 407481831.

It can be written as a sum of positive squares in only one way, i.e., 101606400 + 36578304 = 10080^2 + 6048^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8128504 + ... + 8128520.

Almost surely, 2^138184704 is an apocalyptic number.

138184704 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 138184704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254188935).

138184704 is an abundant number, since it is smaller than the sum of its proper divisors (370193166).

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

138184704 is an equidigital number, since it uses as much as digits as its factorization.

138184704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 138184704 is about 11755.1990200081. The cubic root of 138184704 is about 516.9953745033.

The spelling of 138184704 in words is "one hundred thirty-eight million, one hundred eighty-four thousand, seven hundred four".