134435133400 has 96 divisors (see below), whose sum is σ = 326291392800. Its totient is φ = 51413964800.

The previous prime is 134435133383. The next prime is 134435133407. The reversal of 134435133400 is 4331534431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134435133407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14204670 + ... + 14214130.

It is an arithmetic number, because the mean of its divisors is an integer number (3398868675).

Almost surely, 2^134435133400 is an apocalyptic number.

134435133400 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 134435133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163145696400).

134435133400 is an abundant number, since it is smaller than the sum of its proper divisors (191856259400).

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

134435133400 is a wasteful number, since it uses less digits than its factorization.

134435133400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12589 (or 12580 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

Adding to 134435133400 its reverse (4331534431), we get a palindrome (138766667831).

The spelling of 134435133400 in words is "one hundred thirty-four billion, four hundred thirty-five million, one hundred thirty-three thousand, four hundred".