135360240 has 60 divisors (see below), whose sum is σ = 420176232. Its totient is φ = 36048000.

The previous prime is 135360209. The next prime is 135360257. The reversal of 135360240 is 42063531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 135360240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179865 + ... + 180615.

Almost surely, 2^135360240 is an apocalyptic number.

135360240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135360240 is an abundant number, since it is smaller than the sum of its proper divisors (284815992).

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

135360240 is an frugal number, since it uses more digits than its factorization.

135360240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 135360240 is about 11634.4419720071. The cubic root of 135360240 is about 513.4486763169.

Multiplying 135360240 by its product of nonzero digits (2160), we get a square (292378118400 = 540720²).

The spelling of 135360240 in words is "one hundred thirty-five million, three hundred sixty thousand, two hundred forty".