133474117896000 has 1120 divisors, whose sum is σ = 564558599404800. Its totient is φ = 30495630643200.

The previous prime is 133474117895977. The next prime is 133474117896001. The reversal of 133474117896000 is 698711474331.

133474117896000 is a `hidden beast` number, since 1 + 3 + 3 + 474 + 11 + 78 + 96 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133474117896001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14782819486 + ... + 14782828514.

It is an arithmetic number, because the mean of its divisors is an integer number (504070178040).

Almost surely, 2^{133474117896000} is an apocalyptic number.

133474117896000 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 133474117896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282279299702400).

133474117896000 is an abundant number, since it is smaller than the sum of its proper divisors (431084481508800).

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

133474117896000 is an equidigital number, since it uses as much as digits as its factorization.

133474117896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12334 (or 12305 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 133474117896000 in words is "one hundred thirty-three trillion, four hundred seventy-four billion, one hundred seventeen million, eight hundred ninety-six thousand".