133120626612320 has 96 divisors (see below), whose sum is σ = 322203463436736. Its totient is φ = 51943818649600.

The previous prime is 133120626612313. The next prime is 133120626612353. The reversal of 133120626612320 is 23216626021331.

It is a super-2 number, since 2×133120626612320² (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 15 ways as a sum of consecutive naturals, for example, 58988597 + ... + 61203723.

It is an arithmetic number, because the mean of its divisors is an integer number (3356286077466).

Almost surely, 2^{133120626612320} is an apocalyptic number.

133120626612320 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 133120626612320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161101731718368).

133120626612320 is an abundant number, since it is smaller than the sum of its proper divisors (189082836824416).

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

133120626612320 is a wasteful number, since it uses less digits than its factorization.

133120626612320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224344 (or 2224336 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 38.

The spelling of 133120626612320 in words is "one hundred thirty-three trillion, one hundred twenty billion, six hundred twenty-six million, six hundred twelve thousand, three hundred twenty".