138361632 has 48 divisors (see below), whose sum is σ = 364512960. Its totient is φ = 45953792.

The previous prime is 138361631. The next prime is 138361669. The reversal of 138361632 is 236163831.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 138361593 and 138361602.

It is not an unprimeable number, because it can be changed into a prime (138361631) 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 7 ways as a sum of consecutive naturals, for example, 25669 + ... + 30587.

It is an arithmetic number, because the mean of its divisors is an integer number (7594020).

Almost surely, 2^138361632 is an apocalyptic number.

138361632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138361632 is an abundant number, since it is smaller than the sum of its proper divisors (226151328).

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

138361632 is a wasteful number, since it uses less digits than its factorization.

138361632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5225 (or 5217 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 138361632 is about 11762.7221339280. The cubic root of 138361632 is about 517.2159294169.

The spelling of 138361632 in words is "one hundred thirty-eight million, three hundred sixty-one thousand, six hundred thirty-two".