135041280 has 288 divisors, whose sum is σ = 494484480. Its totient is φ = 31088640.

The previous prime is 135041279. The next prime is 135041281. The reversal of 135041280 is 82140531.

It is an interprime number because it is at equal distance from previous prime (135041279) and next prime (135041281).

It is a super-2 number, since 2×135041280² = 36472294608076800, which contains 22 as substring.

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 135041280.

It is not an unprimeable number, because it can be changed into a prime (135041281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 971451 + ... + 971589.

It is an arithmetic number, because the mean of its divisors is an integer number (1716960).

Almost surely, 2^135041280 is an apocalyptic number.

135041280 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 135041280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247242240).

135041280 is an abundant number, since it is smaller than the sum of its proper divisors (359443200).

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

135041280 is a wasteful number, since it uses less digits than its factorization.

135041280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 135041280 is about 11620.7263112079. The cubic root of 135041280 is about 513.0450659390.

The spelling of 135041280 in words is "one hundred thirty-five million, forty-one thousand, two hundred eighty".