135630240 has 48 divisors (see below), whose sum is σ = 427236768. Its totient is φ = 36167936.

The previous prime is 135630211. The next prime is 135630247. The reversal of 135630240 is 42036531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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 135630240.

It is not an unprimeable number, because it can be changed into a prime (135630247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140802 + ... + 141761.

It is an arithmetic number, because the mean of its divisors is an integer number (8900766).

Almost surely, 2^135630240 is an apocalyptic number.

135630240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135630240 is an abundant number, since it is smaller than the sum of its proper divisors (291606528).

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

135630240 is a wasteful number, since it uses less digits than its factorization.

135630240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282581 (or 282573 counting only the distinct ones).

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

The square root of 135630240 is about 11646.0396702055. The cubic root of 135630240 is about 513.7898377239.

Adding to 135630240 its reverse (42036531), we get a palindrome (177666771).

The spelling of 135630240 in words is "one hundred thirty-five million, six hundred thirty thousand, two hundred forty".