134132400 has 360 divisors, whose sum is σ = 512712720. Its totient is φ = 32348160.

The previous prime is 134132393. The next prime is 134132413. The reversal of 134132400 is 4231431.

134132400 is a `hidden beast` number, since 1 + 341 + 324 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2530774 + ... + 2530826.

It is an arithmetic number, because the mean of its divisors is an integer number (1424202).

Almost surely, 2^134132400 is an apocalyptic number.

134132400 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 134132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256356360).

134132400 is an abundant number, since it is smaller than the sum of its proper divisors (378580320).

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

134132400 is a wasteful number, since it uses less digits than its factorization.

134132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 134132400 is about 11581.5542998339. The cubic root of 134132400 is about 511.8914768364.

Adding to 134132400 its reverse (4231431), we get a palindrome (138363831).

The spelling of 134132400 in words is "one hundred thirty-four million, one hundred thirty-two thousand, four hundred".