135291120 has 80 divisors (see below), whose sum is σ = 420976032. Its totient is φ = 35942400.

The previous prime is 135291113. The next prime is 135291131. The reversal of 135291120 is 21192531.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74220 + ... + 76020.

Almost surely, 2^135291120 is an apocalyptic number.

135291120 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 135291120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210488016).

135291120 is an abundant number, since it is smaller than the sum of its proper divisors (285684912).

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

135291120 is a wasteful number, since it uses less digits than its factorization.

135291120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 135291120 is about 11631.4711021435. The cubic root of 135291120 is about 513.3612660725.

The spelling of 135291120 in words is "one hundred thirty-five million, two hundred ninety-one thousand, one hundred twenty".