135342300 has 144 divisors (see below), whose sum is σ = 409661280. Its totient is φ = 34467840.

The previous prime is 135342299. The next prime is 135342307. The reversal of 135342300 is 3243531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135342307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 987832 + ... + 987968.

It is an arithmetic number, because the mean of its divisors is an integer number (2844870).

Almost surely, 2^135342300 is an apocalyptic number.

135342300 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 135342300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204830640).

135342300 is an abundant number, since it is smaller than the sum of its proper divisors (274318980).

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

135342300 is a wasteful number, since it uses less digits than its factorization.

135342300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 135342300 is about 11633.6709597616. The cubic root of 135342300 is about 513.4259919692.

Adding to 135342300 its reverse (3243531), we get a palindrome (138585831).

The spelling of 135342300 in words is "one hundred thirty-five million, three hundred forty-two thousand, three hundred".