135199680 has 448 divisors, whose sum is σ = 561807360. Its totient is φ = 26726400.

The previous prime is 135199679. The next prime is 135199709. The reversal of 135199680 is 86991531.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2291491 + ... + 2291549.

Almost surely, 2^135199680 is an apocalyptic number.

135199680 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 135199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280903680).

135199680 is an abundant number, since it is smaller than the sum of its proper divisors (426607680).

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

135199680 is a wasteful number, since it uses less digits than its factorization.

135199680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The square root of 135199680 is about 11627.5397225724. The cubic root of 135199680 is about 513.2455838465.

The spelling of 135199680 in words is "one hundred thirty-five million, one hundred ninety-nine thousand, six hundred eighty".