133458578971032 has 256 divisors, whose sum is σ = 398691320832000. Its totient is φ = 36399633988608.

The previous prime is 133458578971031. The next prime is 133458578971037. The reversal of 133458578971032 is 230179875854331.

It is a super-2 number, since 2×133458578971032² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133458578971031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15133069519 + ... + 15133078337.

It is an arithmetic number, because the mean of its divisors is an integer number (1557387972000).

Almost surely, 2^{133458578971032} is an apocalyptic number.

133458578971032 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 133458578971032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199345660416000).

133458578971032 is an abundant number, since it is smaller than the sum of its proper divisors (265232741860968).

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

133458578971032 is a wasteful number, since it uses less digits than its factorization.

133458578971032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16310 (or 16306 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 66.

The spelling of 133458578971032 in words is "one hundred thirty-three trillion, four hundred fifty-eight billion, five hundred seventy-eight million, nine hundred seventy-one thousand, thirty-two".