134440800 has 288 divisors, whose sum is σ = 489968640. Its totient is φ = 31795200.

The previous prime is 134440783. The next prime is 134440909. The reversal of 134440800 is 8044431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 967131 + ... + 967269.

It is an arithmetic number, because the mean of its divisors is an integer number (1701280).

Almost surely, 2^134440800 is an apocalyptic number.

134440800 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 134440800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244984320).

134440800 is an abundant number, since it is smaller than the sum of its proper divisors (355527840).

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

134440800 is a wasteful number, since it uses less digits than its factorization.

134440800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 134440800 is about 11594.8609306020. The cubic root of 134440800 is about 512.2834937171.

The spelling of 134440800 in words is "one hundred thirty-four million, four hundred forty thousand, eight hundred".