153135240 has 64 divisors (see below), whose sum is σ = 462283200. Its totient is φ = 40580352.

The previous prime is 153135217. The next prime is 153135251. The reversal of 153135240 is 42531351.

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 153135240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15646 + ... + 23474.

It is an arithmetic number, because the mean of its divisors is an integer number (7223175).

Almost surely, 2^153135240 is an apocalyptic number.

153135240 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 153135240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231141600).

153135240 is an abundant number, since it is smaller than the sum of its proper divisors (309147960).

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

153135240 is a wasteful number, since it uses less digits than its factorization.

153135240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8006 (or 8002 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 153135240 is about 12374.7824223297. The cubic root of 153135240 is about 535.0056656459.

Adding to 153135240 its reverse (42531351), we get a palindrome (195666591).

The spelling of 153135240 in words is "one hundred fifty-three million, one hundred thirty-five thousand, two hundred forty".