134585280 has 224 divisors, whose sum is σ = 488777280. Its totient is φ = 34836480.

The previous prime is 134585263. The next prime is 134585281. The reversal of 134585280 is 82585431.

It is a happy number.

It is a super-2 number, since 2×134585280² = 36226395185356800, which contains 22 as substring.

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 (134585281) 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, 319470 + ... + 319890.

Almost surely, 2^134585280 is an apocalyptic number.

134585280 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 134585280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244388640).

134585280 is an abundant number, since it is smaller than the sum of its proper divisors (354192000).

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

134585280 is a wasteful number, since it uses less digits than its factorization.

134585280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 134585280 is about 11601.0896039984. The cubic root of 134585280 is about 512.4669405603.

The spelling of 134585280 in words is "one hundred thirty-four million, five hundred eighty-five thousand, two hundred eighty".