134133454400 has 252 divisors, whose sum is σ = 382497061776. Its totient is φ = 45904896000.

The previous prime is 134133454379. The next prime is 134133454409. The reversal of 134133454400 is 4454331431.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (134133454409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5073215 + ... + 5099585.

Almost surely, 2^134133454400 is an apocalyptic number.

134133454400 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 134133454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191248530888).

134133454400 is an abundant number, since it is smaller than the sum of its proper divisors (248363607376).

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

134133454400 is a wasteful number, since it uses less digits than its factorization.

134133454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26438 (or 26406 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 134133454400 its reverse (4454331431), we get a palindrome (138587785831).

The spelling of 134133454400 in words is "one hundred thirty-four billion, one hundred thirty-three million, four hundred fifty-four thousand, four hundred".