133086690000 has 750 divisors, whose sum is σ = 517031473530. Its totient is φ = 31944000000.

The previous prime is 133086689993. The next prime is 133086690089. The reversal of 133086690000 is 96680331.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 18628974144 + 114457715856 = 136488^2 + 338316^2 .

It is a tau number, because it is divible by the number of its divisors (750).

It is a super-2 number, since 2×133086690000² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 1317689950 + ... + 1317690050.

Almost surely, 2^133086690000 is an apocalyptic number.

133086690000 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 133086690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258515736765).

133086690000 is an abundant number, since it is smaller than the sum of its proper divisors (383944783530).

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

133086690000 is an equidigital number, since it uses as much as digits as its factorization.

133086690000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 133086690000 in words is "one hundred thirty-three billion, eighty-six million, six hundred ninety thousand".