135625200 has 60 divisors (see below), whose sum is σ = 434456568. Its totient is φ = 36166400.

The previous prime is 135625187. The next prime is 135625207. The reversal of 135625200 is 2526531.

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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135625207) 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, 55311 + ... + 57710.

Almost surely, 2^135625200 is an apocalyptic number.

135625200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135625200 is an abundant number, since it is smaller than the sum of its proper divisors (298831368).

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

135625200 is a wasteful number, since it uses less digits than its factorization.

135625200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113042 (or 113031 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 135625200 is about 11645.8232856248. The cubic root of 135625200 is about 513.7834735266.

The spelling of 135625200 in words is "one hundred thirty-five million, six hundred twenty-five thousand, two hundred".