133726298112 has 672 divisors, whose sum is σ = 453410141184. Its totient is φ = 39016857600.

The previous prime is 133726298051. The next prime is 133726298119. The reversal of 133726298112 is 211892627331.

It is a happy number.

133726298112 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 2 + 629 + 8 + 1 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133726298119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 678813598 + ... + 678813794.

It is an arithmetic number, because the mean of its divisors is an integer number (674717472).

Almost surely, 2^133726298112 is an apocalyptic number.

133726298112 is a gapful number since it is divisible by the number (12) 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 133726298112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226705070592).

133726298112 is an abundant number, since it is smaller than the sum of its proper divisors (319683843072).

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

133726298112 is an equidigital number, since it uses as much as digits as its factorization.

133726298112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 244 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 133726298112 in words is "one hundred thirty-three billion, seven hundred twenty-six million, two hundred ninety-eight thousand, one hundred twelve".