133106111760 has 320 divisors, whose sum is σ = 449798925312. Its totient is φ = 32425279488.

The previous prime is 133106111731. The next prime is 133106111837. The reversal of 133106111760 is 67111601331.

It is a super-2 number, since 2×133106111760² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84083929 + ... + 84085511.

Almost surely, 2^133106111760 is an apocalyptic number.

133106111760 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 133106111760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224899462656).

133106111760 is an abundant number, since it is smaller than the sum of its proper divisors (316692813552).

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

133106111760 is a wasteful number, since it uses less digits than its factorization.

133106111760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The spelling of 133106111760 in words is "one hundred thirty-three billion, one hundred six million, one hundred eleven thousand, seven hundred sixty".