134883144 has 160 divisors (see below), whose sum is σ = 418176000. Its totient is φ = 40279680.

The previous prime is 134883107. The next prime is 134883169. The reversal of 134883144 is 441388431.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 134883099 and 134883108.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 905182 + ... + 905330.

It is an arithmetic number, because the mean of its divisors is an integer number (2613600).

Almost surely, 2^134883144 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 134883144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209088000).

134883144 is an abundant number, since it is smaller than the sum of its proper divisors (283292856).

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

134883144 is a wasteful number, since it uses less digits than its factorization.

134883144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 292 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 134883144 is about 11613.9202683676. The cubic root of 134883144 is about 512.8447257571.

The spelling of 134883144 in words is "one hundred thirty-four million, eight hundred eighty-three thousand, one hundred forty-four".