134122400 has 72 divisors (see below), whose sum is σ = 329041440. Its totient is φ = 53384960.

The previous prime is 134122397. The next prime is 134122411. The reversal of 134122400 is 4221431.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 286967 + ... + 287433.

It is an arithmetic number, because the mean of its divisors is an integer number (4570020).

Almost surely, 2^134122400 is an apocalyptic number.

134122400 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 134122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164520720).

134122400 is an abundant number, since it is smaller than the sum of its proper divisors (194919040).

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

134122400 is a wasteful number, since it uses less digits than its factorization.

134122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 134122400 is about 11581.1225708046. The cubic root of 134122400 is about 511.8787554706.

Adding to 134122400 its reverse (4221431), we get a palindrome (138343831).

The spelling of 134122400 in words is "one hundred thirty-four million, one hundred twenty-two thousand, four hundred".