135249240 has 128 divisors (see below), whose sum is σ = 471744000. Its totient is φ = 30379008.

The previous prime is 135249227. The next prime is 135249241. The reversal of 135249240 is 42942531.

135249240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 135249198 and 135249207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135249241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48196 + ... + 50924.

It is an arithmetic number, because the mean of its divisors is an integer number (3685500).

Almost surely, 2^135249240 is an apocalyptic number.

135249240 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 135249240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235872000).

135249240 is an abundant number, since it is smaller than the sum of its proper divisors (336494760).

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

135249240 is a wasteful number, since it uses less digits than its factorization.

135249240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2809 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 135249240 is about 11629.6706746150. The cubic root of 135249240 is about 513.3082894774.

The spelling of 135249240 in words is "one hundred thirty-five million, two hundred forty-nine thousand, two hundred forty".