133666025186100 has 288 divisors, whose sum is σ = 436882295993472. Its totient is φ = 31528100736000.

The previous prime is 133666025186093. The next prime is 133666025186261. The reversal of 133666025186100 is 1681520666331.

It is a super-2 number, since 2×133666025186100² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 133666025186100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10250440 + ... + 19297760.

It is an arithmetic number, because the mean of its divisors is an integer number (1516952416644).

Almost surely, 2^{133666025186100} is an apocalyptic number.

133666025186100 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 133666025186100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218441147996736).

133666025186100 is an abundant number, since it is smaller than the sum of its proper divisors (303216270807372).

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

133666025186100 is a wasteful number, since it uses less digits than its factorization.

133666025186100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9047408 (or 9047379 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 133666025186100 in words is "one hundred thirty-three trillion, six hundred sixty-six billion, twenty-five million, one hundred eighty-six thousand, one hundred".