135837240 has 256 divisors, whose sum is σ = 518538240. Its totient is φ = 27648000.

The previous prime is 135837227. The next prime is 135837307. The reversal of 135837240 is 42738531.

135837240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 563520 + ... + 563760.

It is an arithmetic number, because the mean of its divisors is an integer number (2025540).

Almost surely, 2^135837240 is an apocalyptic number.

135837240 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 135837240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259269120).

135837240 is an abundant number, since it is smaller than the sum of its proper divisors (382701000).

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

135837240 is a wasteful number, since it uses less digits than its factorization.

135837240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 135837240 is about 11654.9234231719. The cubic root of 135837240 is about 514.0510883021.

The spelling of 135837240 in words is "one hundred thirty-five million, eight hundred thirty-seven thousand, two hundred forty".