134853200 has 60 divisors (see below), whose sum is σ = 330149628. Its totient is φ = 52915200.

The previous prime is 134853167. The next prime is 134853217. The reversal of 134853200 is 2358431.

It can be written as a sum of positive squares in 6 ways, for example, as 3429904 + 131423296 = 1852^2 + 11464^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 134853200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18020 + ... + 24380.

Almost surely, 2^134853200 is an apocalyptic number.

134853200 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 134853200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165074814).

134853200 is an abundant number, since it is smaller than the sum of its proper divisors (195296428).

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

134853200 is a wasteful number, since it uses less digits than its factorization.

134853200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6432 (or 6421 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 134853200 is about 11612.6310541582. The cubic root of 134853200 is about 512.8067725122.

The spelling of 134853200 in words is "one hundred thirty-four million, eight hundred fifty-three thousand, two hundred".