133034575872 has 384 divisors, whose sum is σ = 404756352000. Its totient is φ = 38486999040.

The previous prime is 133034575871. The next prime is 133034575889. The reversal of 133034575872 is 278575430331.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×133034575872³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (133034575871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201873079 + ... + 201873737.

It is an arithmetic number, because the mean of its divisors is an integer number (1054053000).

Almost surely, 2^133034575872 is an apocalyptic number.

133034575872 is a gapful number since it is divisible by the number (12) 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 133034575872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202378176000).

133034575872 is an abundant number, since it is smaller than the sum of its proper divisors (271721776128).

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

133034575872 is a wasteful number, since it uses less digits than its factorization.

133034575872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The spelling of 133034575872 in words is "one hundred thirty-three billion, thirty-four million, five hundred seventy-five thousand, eight hundred seventy-two".