134006400 has 480 divisors, whose sum is σ = 550946880. Its totient is φ = 31795200.

The previous prime is 134006387. The next prime is 134006407. The reversal of 134006400 is 4600431.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (134006407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2851177 + ... + 2851223.

It is an arithmetic number, because the mean of its divisors is an integer number (1147806).

Almost surely, 2^134006400 is an apocalyptic number.

134006400 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 134006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275473440).

134006400 is an abundant number, since it is smaller than the sum of its proper divisors (416940480).

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

134006400 is a wasteful number, since it uses less digits than its factorization.

134006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 68 counting only the distinct ones).

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

The square root of 134006400 is about 11576.1133373857. The cubic root of 134006400 is about 511.7311413953.

Adding to 134006400 its reverse (4600431), we get a palindrome (138606831).

The spelling of 134006400 in words is "one hundred thirty-four million, six thousand, four hundred".