135061080 has 256 divisors, whose sum is σ = 517570560. Its totient is φ = 27379200.

The previous prime is 135061067. The next prime is 135061097. The reversal of 135061080 is 80160531.

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

It is a self number, because there is not a number n which added to its sum of digits gives 135061080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 434125 + ... + 434435.

It is an arithmetic number, because the mean of its divisors is an integer number (2021760).

Almost surely, 2^135061080 is an apocalyptic number.

135061080 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 135061080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258785280).

135061080 is an abundant number, since it is smaller than the sum of its proper divisors (382509480).

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

135061080 is a wasteful number, since it uses less digits than its factorization.

135061080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 135061080 is about 11621.5782060786. The cubic root of 135061080 is about 513.0701392496.

The spelling of 135061080 in words is "one hundred thirty-five million, sixty-one thousand, eighty".