135242600 has 48 divisors (see below), whose sum is σ = 322127820. Its totient is φ = 52774400.

The previous prime is 135242593. The next prime is 135242609. The reversal of 135242600 is 6242531.

135242600 = T₁₄₂₁ + T₁₄₂₂ + ... + T₁₅₄₃.

135242600 = 1655² + 1656² + ... + 1702².

It can be written as a sum of positive squares in 6 ways, for example, as 357604 + 134884996 = 598^2 + 11614^2 .

It is not an unprimeable number, because it can be changed into a prime (135242609) 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, 47 + ... + 16446.

Almost surely, 2^135242600 is an apocalyptic number.

135242600 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 135242600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161063910).

135242600 is an abundant number, since it is smaller than the sum of its proper divisors (186885220).

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

135242600 is a wasteful number, since it uses less digits than its factorization.

135242600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16550 (or 16541 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 135242600 is about 11629.3851944116. The cubic root of 135242600 is about 513.2998891275.

The spelling of 135242600 in words is "one hundred thirty-five million, two hundred forty-two thousand, six hundred".