134581824 has 140 divisors (see below), whose sum is σ = 429845724. Its totient is φ = 41389056.

The previous prime is 134581817. The next prime is 134581831. The reversal of 134581824 is 428185431.

It is an interprime number because it is at equal distance from previous prime (134581817) and next prime (134581831).

It can be written as a sum of positive squares in 2 ways, for example, as 10036224 + 124545600 = 3168^2 + 11160^2 .

It is a super-2 number, since 2×134581824² = 36224534702333952, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66394 + ... + 68390.

Almost surely, 2^134581824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134581824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214922862).

134581824 is an abundant number, since it is smaller than the sum of its proper divisors (295263900).

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

134581824 is a wasteful number, since it uses less digits than its factorization.

134581824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034 (or 2015 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 134581824 is about 11600.9406515162. The cubic root of 134581824 is about 512.4625539962.

The spelling of 134581824 in words is "one hundred thirty-four million, five hundred eighty-one thousand, eight hundred twenty-four".