138558432 has 96 divisors (see below), whose sum is σ = 391910400. Its totient is φ = 42702848.

The previous prime is 138558421. The next prime is 138558443. The reversal of 138558432 is 234855831.

It is an interprime number because it is at equal distance from previous prime (138558421) and next prime (138558443).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 95569 + ... + 97007.

It is an arithmetic number, because the mean of its divisors is an integer number (4082400).

Almost surely, 2^138558432 is an apocalyptic number.

138558432 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 138558432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195955200).

138558432 is an abundant number, since it is smaller than the sum of its proper divisors (253351968).

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

138558432 is a wasteful number, since it uses less digits than its factorization.

138558432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1520 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 138558432 is about 11771.0845719500. The cubic root of 138558432 is about 517.4610355970.

The spelling of 138558432 in words is "one hundred thirty-eight million, five hundred fifty-eight thousand, four hundred thirty-two".