135830240 has 192 divisors, whose sum is σ = 416586240. Its totient is φ = 40642560.

The previous prime is 135830237. The next prime is 135830243. The reversal of 135830240 is 42038531.

It is an interprime number because it is at equal distance from previous prime (135830237) and next prime (135830243).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135830243) 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, 276395 + ... + 276885.

It is an arithmetic number, because the mean of its divisors is an integer number (2169720).

Almost surely, 2^135830240 is an apocalyptic number.

135830240 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 135830240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208293120).

135830240 is an abundant number, since it is smaller than the sum of its proper divisors (280756000).

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

135830240 is a wasteful number, since it uses less digits than its factorization.

135830240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 135830240 is about 11654.6231170296. The cubic root of 135830240 is about 514.0422580790.

Adding to 135830240 its reverse (42038531), we get a palindrome (177868771).

The spelling of 135830240 in words is "one hundred thirty-five million, eight hundred thirty thousand, two hundred forty".