133172143104 has 1056 divisors, whose sum is σ = 499582763008. Its totient is φ = 30656102400.

The previous prime is 133172143079. The next prime is 133172143123. The reversal of 133172143104 is 401341271331.

It is a tau number, because it is divible by the number of its divisors (1056).

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, 1048599489 + ... + 1048599615.

Almost surely, 2^133172143104 is an apocalyptic number.

133172143104 is a gapful number since it is divisible by the number (14) 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 133172143104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249791381504).

133172143104 is an abundant number, since it is smaller than the sum of its proper divisors (366410619904).

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

133172143104 is a wasteful number, since it uses less digits than its factorization.

133172143104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 133172143104 in words is "one hundred thirty-three billion, one hundred seventy-two million, one hundred forty-three thousand, one hundred four".