138245184 has 224 divisors, whose sum is σ = 507187200. Its totient is φ = 35873280.

The previous prime is 138245179. The next prime is 138245231. The reversal of 138245184 is 481542831.

138245184 is a `hidden beast` number, since 138 + 2 + 4 + 518 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×138245184² = 38223461798387712, 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132537 + ... + 133575.

Almost surely, 2^138245184 is an apocalyptic number.

138245184 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 138245184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253593600).

138245184 is an abundant number, since it is smaller than the sum of its proper divisors (368942016).

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

138245184 is a wasteful number, since it uses less digits than its factorization.

138245184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1062 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 138245184 is about 11757.7712173694. The cubic root of 138245184 is about 517.0707888309.

The spelling of 138245184 in words is "one hundred thirty-eight million, two hundred forty-five thousand, one hundred eighty-four".