134918400 has 108 divisors (see below), whose sum is σ = 445322192. Its totient is φ = 35973120.

The previous prime is 134918363. The next prime is 134918401. The reversal of 134918400 is 4819431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (134918401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15687 + ... + 22713.

Almost surely, 2^134918400 is an apocalyptic number.

134918400 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 134918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222661096).

134918400 is an abundant number, since it is smaller than the sum of its proper divisors (310403792).

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

134918400 is an equidigital number, since it uses as much as digits as its factorization.

134918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7056 (or 7037 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 134918400 is about 11615.4380029339. The cubic root of 134918400 is about 512.8894046251.

The spelling of 134918400 in words is "one hundred thirty-four million, nine hundred eighteen thousand, four hundred".