135114480 has 200 divisors, whose sum is σ = 486129600. Its totient is φ = 34739712.

The previous prime is 135114479. The next prime is 135114493. The reversal of 135114480 is 84411531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 187561 + ... + 188279.

It is an arithmetic number, because the mean of its divisors is an integer number (2430648).

Almost surely, 2^135114480 is an apocalyptic number.

135114480 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 135114480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243064800).

135114480 is an abundant number, since it is smaller than the sum of its proper divisors (351015120).

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

135114480 is a wasteful number, since it uses less digits than its factorization.

135114480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 135114480 is about 11623.8754294770. The cubic root of 135114480 is about 513.1377489942.

The spelling of 135114480 in words is "one hundred thirty-five million, one hundred fourteen thousand, four hundred eighty".