133667628400896 has 576 divisors, whose sum is σ = 373666186333440. Its totient is φ = 42387984875520.

The previous prime is 133667628400879. The next prime is 133667628400907. The reversal of 133667628400896 is 698004826766331.

It is a self number, because there is not a number n which added to its sum of digits gives 133667628400896.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 155971561300 + ... + 155971562156.

It is an arithmetic number, because the mean of its divisors is an integer number (648726017940).

Almost surely, 2^{133667628400896} is an apocalyptic number.

133667628400896 is a gapful number since it is divisible by the number (16) 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 133667628400896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186833093166720).

133667628400896 is an abundant number, since it is smaller than the sum of its proper divisors (239998557932544).

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

133667628400896 is an equidigital number, since it uses as much as digits as its factorization.

133667628400896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 69.

The spelling of 133667628400896 in words is "one hundred thirty-three trillion, six hundred sixty-seven billion, six hundred twenty-eight million, four hundred thousand, eight hundred ninety-six".