133834000896 has 800 divisors, whose sum is σ = 454174680960. Its totient is φ = 38985007104.

The previous prime is 133834000837. The next prime is 133834000907. The reversal of 133834000896 is 698000438331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1299359181 + ... + 1299359283.

Almost surely, 2^133834000896 is an apocalyptic number.

133834000896 is a gapful number since it is divisible by the number (16) 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 133834000896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227087340480).

133834000896 is an abundant number, since it is smaller than the sum of its proper divisors (320340680064).

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

133834000896 is a wasteful number, since it uses less digits than its factorization.

133834000896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 133834000896 in words is "one hundred thirty-three billion, eight hundred thirty-four million, eight hundred ninety-six", and thus it is an aban number.