135744800 has 36 divisors (see below), whose sum is σ = 331388946. Its totient is φ = 54297600.

The previous prime is 135744769. The next prime is 135744803. The reversal of 135744800 is 8447531.

It can be written as a sum of positive squares in 3 ways, for example, as 100080016 + 35664784 = 10004^2 + 5972^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (135744803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 84041 + ... + 85640.

Almost surely, 2^135744800 is an apocalyptic number.

135744800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135744800 is an abundant number, since it is smaller than the sum of its proper divisors (195644146).

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

135744800 is a wasteful number, since it uses less digits than its factorization.

135744800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169701 (or 169688 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 135744800 is about 11650.9570422348. The cubic root of 135744800 is about 513.9344544398.

The spelling of 135744800 in words is "one hundred thirty-five million, seven hundred forty-four thousand, eight hundred".