138402432 has 160 divisors (see below), whose sum is σ = 470970720. Its totient is φ = 39522816.

The previous prime is 138402427. The next prime is 138402461. The reversal of 138402432 is 234204831.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 138402396 and 138402405.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 71623 + ... + 73529.

It is an arithmetic number, because the mean of its divisors is an integer number (2943567).

Almost surely, 2^138402432 is an apocalyptic number.

138402432 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 138402432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235485360).

138402432 is an abundant number, since it is smaller than the sum of its proper divisors (332568288).

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

138402432 is an equidigital number, since it uses as much as digits as its factorization.

138402432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 138402432 is about 11764.4562985291. The cubic root of 138402432 is about 517.2667632011.

The spelling of 138402432 in words is "one hundred thirty-eight million, four hundred two thousand, four hundred thirty-two".