135252600 has 96 divisors (see below), whose sum is σ = 479195520. Its totient is φ = 30913920.

The previous prime is 135252589. The next prime is 135252613. The reversal of 135252600 is 6252531.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 11902 + ... + 20301.

It is an arithmetic number, because the mean of its divisors is an integer number (4991620).

Almost surely, 2^135252600 is an apocalyptic number.

135252600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135252600 is an abundant number, since it is smaller than the sum of its proper divisors (343942920).

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

135252600 is a wasteful number, since it uses less digits than its factorization.

135252600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32229 (or 32220 counting only the distinct ones).

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

The square root of 135252600 is about 11629.8151318067. The cubic root of 135252600 is about 513.3125401521.

The spelling of 135252600 in words is "one hundred thirty-five million, two hundred fifty-two thousand, six hundred".