138574752 has 192 divisors, whose sum is σ = 419126400. Its totient is φ = 39813120.

The previous prime is 138574729. The next prime is 138574873. The reversal of 138574752 is 257475831.

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 31 ways as a sum of consecutive naturals, for example, 1271274 + ... + 1271382.

It is an arithmetic number, because the mean of its divisors is an integer number (2182950).

Almost surely, 2^138574752 is an apocalyptic number.

138574752 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 138574752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209563200).

138574752 is an abundant number, since it is smaller than the sum of its proper divisors (280551648).

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

138574752 is a wasteful number, since it uses less digits than its factorization.

138574752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 191 counting only the distinct ones).

The product of its digits is 235200, while the sum is 42.

The square root of 138574752 is about 11771.7777756803. Note that the first 5 decimals coincide. The cubic root of 138574752 is about 517.4813510515.

The spelling of 138574752 in words is "one hundred thirty-eight million, five hundred seventy-four thousand, seven hundred fifty-two".