134696800 has 144 divisors (see below), whose sum is σ = 382475520. Its totient is φ = 45365760.

The previous prime is 134696789. The next prime is 134696803. The reversal of 134696800 is 8696431.

It is a self number, because there is not a number n which added to its sum of digits gives 134696800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134696803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 375021 + ... + 375379.

It is an arithmetic number, because the mean of its divisors is an integer number (2656080).

Almost surely, 2^134696800 is an apocalyptic number.

134696800 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 134696800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191237760).

134696800 is an abundant number, since it is smaller than the sum of its proper divisors (247778720).

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

134696800 is a wasteful number, since it uses less digits than its factorization.

134696800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 134696800 is about 11605.8950538078. The cubic root of 134696800 is about 512.6084481982.

The spelling of 134696800 in words is "one hundred thirty-four million, six hundred ninety-six thousand, eight hundred".