135792240 has 160 divisors (see below), whose sum is σ = 449137920. Its totient is φ = 33841152.

The previous prime is 135792211. The next prime is 135792247. The reversal of 135792240 is 42297531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135792247) 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, 442167 + ... + 442473.

It is an arithmetic number, because the mean of its divisors is an integer number (2807112).

Almost surely, 2^135792240 is an apocalyptic number.

135792240 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 135792240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224568960).

135792240 is an abundant number, since it is smaller than the sum of its proper divisors (313345680).

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

135792240 is a wasteful number, since it uses less digits than its factorization.

135792240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 135792240 is about 11652.9927486462. The cubic root of 135792240 is about 513.9943172874.

The spelling of 135792240 in words is "one hundred thirty-five million, seven hundred ninety-two thousand, two hundred forty".