133165103760 has 1280 divisors, whose sum is σ = 544285163520. Its totient is φ = 29658562560.

The previous prime is 133165103723. The next prime is 133165103789. The reversal of 133165103760 is 67301561331.

It is a happy number.

133165103760 is a `hidden beast` number, since 133 + 1 + 6 + 510 + 3 + 7 + 6 + 0 = 666.

It is a super-2 number, since 2×133165103760² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1244533627 + ... + 1244533733.

It is an arithmetic number, because the mean of its divisors is an integer number (425222784).

Almost surely, 2^133165103760 is an apocalyptic number.

133165103760 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 133165103760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272142581760).

133165103760 is an abundant number, since it is smaller than the sum of its proper divisors (411120059760).

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

133165103760 is a wasteful number, since it uses less digits than its factorization.

133165103760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 133165103760 in words is "one hundred thirty-three billion, one hundred sixty-five million, one hundred three thousand, seven hundred sixty".