138461832 has 64 divisors (see below), whose sum is σ = 386208000. Its totient is φ = 45963072.

The previous prime is 138461789. The next prime is 138461861. The reversal of 138461832 is 238164831.

138461832 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 618 + 32 = 666.

138461832 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 56913 + ... + 59295.

It is an arithmetic number, because the mean of its divisors is an integer number (6034500).

Almost surely, 2^138461832 is an apocalyptic number.

138461832 is a gapful number since it is divisible by the number (12) 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 138461832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193104000).

138461832 is an abundant number, since it is smaller than the sum of its proper divisors (247746168).

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

138461832 is a wasteful number, since it uses less digits than its factorization.

138461832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2667 (or 2657 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 138461832 is about 11766.9805812706. The cubic root of 138461832 is about 517.3407533536.

The spelling of 138461832 in words is "one hundred thirty-eight million, four hundred sixty-one thousand, eight hundred thirty-two".