138518352 has 120 divisors (see below), whose sum is σ = 446846400. Its totient is φ = 39237120.

The previous prime is 138518339. The next prime is 138518381. The reversal of 138518352 is 253815831.

138518352 is a `hidden beast` number, since 138 + 518 + 3 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 131524 + ... + 132572.

It is an arithmetic number, because the mean of its divisors is an integer number (3723720).

Almost surely, 2^138518352 is an apocalyptic number.

138518352 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 138518352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223423200).

138518352 is an abundant number, since it is smaller than the sum of its proper divisors (308328048).

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

138518352 is a wasteful number, since it uses less digits than its factorization.

138518352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1192 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 138518352 is about 11769.3819718794. The cubic root of 138518352 is about 517.4111364603.

The spelling of 138518352 in words is "one hundred thirty-eight million, five hundred eighteen thousand, three hundred fifty-two".