135518640 has 160 divisors (see below), whose sum is σ = 447828480. Its totient is φ = 33804288.

The previous prime is 135518633. The next prime is 135518683. The reversal of 135518640 is 46815531.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 515149 + ... + 515411.

It is an arithmetic number, because the mean of its divisors is an integer number (2798928).

Almost surely, 2^135518640 is an apocalyptic number.

135518640 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 135518640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223914240).

135518640 is an abundant number, since it is smaller than the sum of its proper divisors (312309840).

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

135518640 is a wasteful number, since it uses less digits than its factorization.

135518640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 135518640 is about 11641.2473558464. The cubic root of 135518640 is about 513.6488792874.

The spelling of 135518640 in words is "one hundred thirty-five million, five hundred eighteen thousand, six hundred forty".