134096400 has 135 divisors (see below), whose sum is σ = 467775399. Its totient is φ = 35573760.

The previous prime is 134096381. The next prime is 134096407. The reversal of 134096400 is 4690431.

The square root of 134096400 is 11580.

It is a perfect power (a square), and thus also a powerful number.

134096400 is a `hidden beast` number, since 13 + 4 + 0 + 9 + 640 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21566736 + 112529664 = 4644^2 + 10608^2 .

It is not an unprimeable number, because it can be changed into a prime (134096407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 694704 + ... + 694896.

Almost surely, 2^134096400 is an apocalyptic number.

134096400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

134096400 is the 11580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134096400

134096400 is an abundant number, since it is smaller than the sum of its proper divisors (333678999).

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

134096400 is a wasteful number, since it uses less digits than its factorization.

134096400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The cubic root of 134096400 is about 511.8456769599.

The spelling of 134096400 in words is "one hundred thirty-four million, ninety-six thousand, four hundred".