135114240 has 160 divisors (see below), whose sum is σ = 439677216. Its totient is φ = 35389440.

The previous prime is 135114227. The next prime is 135114241. The reversal of 135114240 is 42411531.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135114241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 560520 + ... + 560760.

Almost surely, 2^135114240 is an apocalyptic number.

135114240 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 135114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219838608).

135114240 is an abundant number, since it is smaller than the sum of its proper divisors (304562976).

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

135114240 is an equidigital number, since it uses as much as digits as its factorization.

135114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 135114240 is about 11623.8651058931. The cubic root of 135114240 is about 513.1374451701.

Adding to 135114240 its reverse (42411531), we get a palindrome (177525771).

The spelling of 135114240 in words is "one hundred thirty-five million, one hundred fourteen thousand, two hundred forty".