135388680 has 256 divisors, whose sum is σ = 518400000. Its totient is φ = 27537408.

The previous prime is 135388667. The next prime is 135388681. The reversal of 135388680 is 86883531.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (135388681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 271071 + ... + 271569.

It is an arithmetic number, because the mean of its divisors is an integer number (2025000).

Almost surely, 2^135388680 is an apocalyptic number.

135388680 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 135388680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259200000).

135388680 is an abundant number, since it is smaller than the sum of its proper divisors (383011320).

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

135388680 is a wasteful number, since it uses less digits than its factorization.

135388680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 135388680 is about 11635.6641409075. The cubic root of 135388680 is about 513.4846333497.

The spelling of 135388680 in words is "one hundred thirty-five million, three hundred eighty-eight thousand, six hundred eighty".