133037728393472 has 144 divisors (see below), whose sum is σ = 308040736456320. Its totient is φ = 56161775222784.

The previous prime is 133037728393223. The next prime is 133037728393481. The reversal of 133037728393472 is 274393827730331.

It is a happy number.

133037728393472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3482917478 + ... + 3482955674.

Almost surely, 2^{133037728393472} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133037728393472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154020368228160).

133037728393472 is an abundant number, since it is smaller than the sum of its proper divisors (175003008062848).

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

133037728393472 is an equidigital number, since it uses as much as digits as its factorization.

133037728393472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67296 (or 67282 counting only the distinct ones).

The product of its (nonzero) digits is 96018048, while the sum is 62.

The spelling of 133037728393472 in words is "one hundred thirty-three trillion, thirty-seven billion, seven hundred twenty-eight million, three hundred ninety-three thousand, four hundred seventy-two".