138344832 has 48 divisors (see below), whose sum is σ = 398104980. Its totient is φ = 46114560.

The previous prime is 138344831. The next prime is 138344873. The reversal of 138344832 is 238443831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×138344832² = 38278585082216448, which contains 22 as substring.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138344831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 58894 + ... + 61197.

Almost surely, 2^138344832 is an apocalyptic number.

138344832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138344832 is an abundant number, since it is smaller than the sum of its proper divisors (259760148).

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

138344832 is a wasteful number, since it uses less digits than its factorization.

138344832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120111 (or 120096 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 138344832 is about 11762.0079918354. The cubic root of 138344832 is about 517.1949949541.

The spelling of 138344832 in words is "one hundred thirty-eight million, three hundred forty-four thousand, eight hundred thirty-two".