133726397011200 has 2592 divisors, whose sum is σ = 588478990934016. Its totient is φ = 28311056547840.

The previous prime is 133726397011183. The next prime is 133726397011241. The reversal of 133726397011200 is 2110793627331.

133726397011200 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 2 + 639 + 7 + 0 + 1 + 1 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 42278340819 + ... + 42278343981.

Almost surely, 2^{133726397011200} is an apocalyptic number.

133726397011200 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 133726397011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294239495467008).

133726397011200 is an abundant number, since it is smaller than the sum of its proper divisors (454752593922816).

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

133726397011200 is a wasteful number, since it uses less digits than its factorization.

133726397011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3369 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 133726397011200 in words is "one hundred thirty-three trillion, seven hundred twenty-six billion, three hundred ninety-seven million, eleven thousand, two hundred".