134134400 has 96 divisors (see below), whose sum is σ = 334666080. Its totient is φ = 53120000.

The previous prime is 134134397. The next prime is 134134409. The reversal of 134134400 is 4431431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134134409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 534275 + ... + 534525.

It is an arithmetic number, because the mean of its divisors is an integer number (3486105).

Almost surely, 2^134134400 is an apocalyptic number.

134134400 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 134134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167333040).

134134400 is an abundant number, since it is smaller than the sum of its proper divisors (200531680).

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

134134400 is a wasteful number, since it uses less digits than its factorization.

134134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 134134400 is about 11581.6406437085. The cubic root of 134134400 is about 511.8940210337.

Adding to 134134400 its reverse (4431431), we get a palindrome (138565831).

The spelling of 134134400 in words is "one hundred thirty-four million, one hundred thirty-four thousand, four hundred".