138035600 has 30 divisors (see below), whose sum is σ = 331631490. Its totient is φ = 55214080.

The previous prime is 138035587. The next prime is 138035603. The reversal of 138035600 is 6530831.

It can be written as a sum of positive squares in 3 ways, for example, as 1893376 + 136142224 = 1376^2 + 11668^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 138035600.

It is not an unprimeable number, because it can be changed into a prime (138035603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 172145 + ... + 172944.

It is an arithmetic number, because the mean of its divisors is an integer number (11054383).

Almost surely, 2^138035600 is an apocalyptic number.

138035600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138035600 is an abundant number, since it is smaller than the sum of its proper divisors (193595890).

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

138035600 is a wasteful number, since it uses less digits than its factorization.

138035600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345107 (or 345096 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 138035600 is about 11748.8552633863. The cubic root of 138035600 is about 516.8093582064.

The spelling of 138035600 in words is "one hundred thirty-eight million, thirty-five thousand, six hundred".