135481920 has 112 divisors (see below), whose sum is σ = 491630208. Its totient is φ = 30965760.

The previous prime is 135481909. The next prime is 135481921. The reversal of 135481920 is 29184531.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135481921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3361 + ... + 16800.

Almost surely, 2^135481920 is an apocalyptic number.

135481920 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 135481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245815104).

135481920 is an abundant number, since it is smaller than the sum of its proper divisors (356148288).

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

135481920 is a wasteful number, since it uses less digits than its factorization.

135481920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20188 (or 20178 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 135481920 is about 11639.6700984177. The cubic root of 135481920 is about 513.6024824950.

The spelling of 135481920 in words is "one hundred thirty-five million, four hundred eighty-one thousand, nine hundred twenty".