133834814400 has 672 divisors, whose sum is σ = 546518592000. Its totient is φ = 27977564160.

The previous prime is 133834814389. The next prime is 133834814413. The reversal of 133834814400 is 4418438331.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18509986 + ... + 18517214.

Almost surely, 2^133834814400 is an apocalyptic number.

133834814400 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 133834814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273259296000).

133834814400 is an abundant number, since it is smaller than the sum of its proper divisors (412683777600).

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

133834814400 is a wasteful number, since it uses less digits than its factorization.

133834814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7309 (or 7294 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 133834814400 in words is "one hundred thirty-three billion, eight hundred thirty-four million, eight hundred fourteen thousand, four hundred".