135983600 has 30 divisors (see below), whose sum is σ = 326701560. Its totient is φ = 54393280.

The previous prime is 135983557. The next prime is 135983611. The reversal of 135983600 is 6389531.

135983600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 169580 + ... + 170379.

It is an arithmetic number, because the mean of its divisors is an integer number (10890052).

Almost surely, 2^135983600 is an apocalyptic number.

135983600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135983600 is an abundant number, since it is smaller than the sum of its proper divisors (190717960).

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

135983600 is a wasteful number, since it uses less digits than its factorization.

135983600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339977 (or 339966 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 135983600 is about 11661.2006242925. The cubic root of 135983600 is about 514.2356462134.

The spelling of 135983600 in words is "one hundred thirty-five million, nine hundred eighty-three thousand, six hundred".