133045530101760 has 192 divisors, whose sum is σ = 427010408173440. Its totient is φ = 35364725719040.

The previous prime is 133045530101753. The next prime is 133045530101777. The reversal of 133045530101760 is 67101035540331.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×133045530101760² (a number of 29 digits) contains 22 as substring.

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, 2591044 + ... + 16516796.

It is an arithmetic number, because the mean of its divisors is an integer number (2224012542570).

Almost surely, 2^{133045530101760} is an apocalyptic number.

133045530101760 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 133045530101760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213505204086720).

133045530101760 is an abundant number, since it is smaller than the sum of its proper divisors (293964878071680).

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

133045530101760 is a wasteful number, since it uses less digits than its factorization.

133045530101760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13926094 (or 13926074 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The spelling of 133045530101760 in words is "one hundred thirty-three trillion, forty-five billion, five hundred thirty million, one hundred one thousand, seven hundred sixty".