138503574 has 64 divisors (see below), whose sum is σ = 337167360. Its totient is φ = 41796000.

The previous prime is 138503569. The next prime is 138503579. The reversal of 138503574 is 475305831.

138503574 is a `hidden beast` number, since 1 + 3 + 85 + 0 + 3 + 574 = 666.

It is an interprime number because it is at equal distance from previous prime (138503569) and next prime (138503579).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138503579) by changing a digit.

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, 255744 + ... + 256284.

It is an arithmetic number, because the mean of its divisors is an integer number (5268240).

Almost surely, 2^138503574 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138503574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168583680).

138503574 is an abundant number, since it is smaller than the sum of its proper divisors (198663786).

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

138503574 is a wasteful number, since it uses less digits than its factorization.

138503574 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 138503574 is about 11768.7541396700. The cubic root of 138503574 is about 517.3927355924.

It can be divided in two parts, 13850 and 3574, that added together give a square (17424 = 132²).

The spelling of 138503574 in words is "one hundred thirty-eight million, five hundred three thousand, five hundred seventy-four".