134034432400 has 120 divisors (see below), whose sum is σ = 351635404608. Its totient is φ = 48692160000.

The previous prime is 134034432361. The next prime is 134034432421. The reversal of 134034432400 is 4234430431.

134034432400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4654045 + ... + 4682755.

Almost surely, 2^134034432400 is an apocalyptic number.

134034432400 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 134034432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175817702304).

134034432400 is an abundant number, since it is smaller than the sum of its proper divisors (217600972208).

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

134034432400 is a wasteful number, since it uses less digits than its factorization.

134034432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29801 (or 29790 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 134034432400 its reverse (4234430431), we get a palindrome (138268862831).

The spelling of 134034432400 in words is "one hundred thirty-four billion, thirty-four million, four hundred thirty-two thousand, four hundred".