135146880 has 384 divisors, whose sum is σ = 534643200. Its totient is φ = 32348160.

The previous prime is 135146863. The next prime is 135146881. The reversal of 135146880 is 88641531.

135146880 is a `hidden beast` number, since 1 + 3 + 514 + 68 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135146881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1710681 + ... + 1710759.

It is an arithmetic number, because the mean of its divisors is an integer number (1392300).

Almost surely, 2^135146880 is an apocalyptic number.

135146880 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 135146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267321600).

135146880 is an abundant number, since it is smaller than the sum of its proper divisors (399496320).

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

135146880 is an equidigital number, since it uses as much as digits as its factorization.

135146880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 135146880 is about 11625.2690291451. The cubic root of 135146880 is about 513.1787619543.

The spelling of 135146880 in words is "one hundred thirty-five million, one hundred forty-six thousand, eight hundred eighty".