134442400 has 72 divisors (see below), whose sum is σ = 330541344. Its totient is φ = 53395200.

The previous prime is 134442389. The next prime is 134442431. The reversal of 134442400 is 4244431.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

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, 129885 + ... + 130915.

It is an arithmetic number, because the mean of its divisors is an integer number (4590852).

Almost surely, 2^134442400 is an apocalyptic number.

134442400 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 134442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165270672).

134442400 is an abundant number, since it is smaller than the sum of its proper divisors (196098944).

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

134442400 is a wasteful number, since it uses less digits than its factorization.

134442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 134442400 is about 11594.9299264808. The cubic root of 134442400 is about 512.2855259631.

Adding to 134442400 its reverse (4244431), we get a palindrome (138686831).

The spelling of 134442400 in words is "one hundred thirty-four million, four hundred forty-two thousand, four hundred".