133289826010880 has 1152 divisors, whose sum is σ = 442094725287936. Its totient is φ = 37205154201600.

The previous prime is 133289826010867. The next prime is 133289826010909. The reversal of 133289826010880 is 88010628982331.

It is a super-2 number, since 2×133289826010880² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7437624320 + ... + 7437642240.

It is an arithmetic number, because the mean of its divisors is an integer number (383762782368).

Almost surely, 2^{133289826010880} is an apocalyptic number.

133289826010880 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 133289826010880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221047362643968).

133289826010880 is an abundant number, since it is smaller than the sum of its proper divisors (308804899277056).

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

133289826010880 is a wasteful number, since it uses less digits than its factorization.

133289826010880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18193 (or 18179 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 59.

The spelling of 133289826010880 in words is "one hundred thirty-three trillion, two hundred eighty-nine billion, eight hundred twenty-six million, ten thousand, eight hundred eighty".