134438400 has 240 divisors, whose sum is σ = 494722800. Its totient is φ = 35758080.

The previous prime is 134438387. The next prime is 134438401. The reversal of 134438400 is 4834431.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134438401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345406 + ... + 345794.

It is an arithmetic number, because the mean of its divisors is an integer number (2061345).

Almost surely, 2^134438400 is an apocalyptic number.

134438400 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 134438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247361400).

134438400 is an abundant number, since it is smaller than the sum of its proper divisors (360284400).

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

134438400 is an equidigital number, since it uses as much as digits as its factorization.

134438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 134438400 is about 11594.7574360139. The cubic root of 134438400 is about 512.2804453178.

The spelling of 134438400 in words is "one hundred thirty-four million, four hundred thirty-eight thousand, four hundred".