135195600 has 60 divisors (see below), whose sum is σ = 433080416. Its totient is φ = 36051840.

The previous prime is 135195589. The next prime is 135195601. The reversal of 135195600 is 6591531.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135195601) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 55132 + ... + 57531.

Almost surely, 2^135195600 is an apocalyptic number.

135195600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135195600 is an abundant number, since it is smaller than the sum of its proper divisors (297884816).

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

135195600 is a wasteful number, since it uses less digits than its factorization.

135195600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112684 (or 112673 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 30.

The square root of 135195600 is about 11627.3642757075. The cubic root of 135195600 is about 513.2404209570.

The spelling of 135195600 in words is "one hundred thirty-five million, one hundred ninety-five thousand, six hundred".