135713300 has 54 divisors (see below), whose sum is σ = 299601918. Its totient is φ = 53359040.

The previous prime is 135713293. The next prime is 135713309. The reversal of 135713300 is 3317531.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 39790864 + 95922436 = 6308^2 + 9794^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135713309) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 688802 + ... + 688998.

Almost surely, 2^135713300 is an apocalyptic number.

135713300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135713300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149800959).

135713300 is an abundant number, since it is smaller than the sum of its proper divisors (163888618).

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

135713300 is a wasteful number, since it uses less digits than its factorization.

135713300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 23.

The square root of 135713300 is about 11649.6051435231. The cubic root of 135713300 is about 513.8946980054.

The spelling of 135713300 in words is "one hundred thirty-five million, seven hundred thirteen thousand, three hundred".