135514600 has 48 divisors (see below), whose sum is σ = 339314220. Its totient is φ = 50035200.

The previous prime is 135514591. The next prime is 135514601. The reversal of 135514600 is 6415531.

It can be written as a sum of positive squares in 6 ways, for example, as 39513796 + 96000804 = 6286^2 + 9798^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135514601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23461 + ... + 28660.

Almost surely, 2^135514600 is an apocalyptic number.

135514600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135514600 is an abundant number, since it is smaller than the sum of its proper divisors (203799620).

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

135514600 is a wasteful number, since it uses less digits than its factorization.

135514600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52150 (or 52141 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 135514600 is about 11641.0738336289. The cubic root of 135514600 is about 513.6437750398.

The spelling of 135514600 in words is "one hundred thirty-five million, five hundred fourteen thousand, six hundred".