133034164221296 has 120 divisors (see below), whose sum is σ = 284228200147584. Its totient is φ = 59963541143040.

The previous prime is 133034164221227. The next prime is 133034164221311. The reversal of 133034164221296 is 692122461430331.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a self number, because there is not a number n which added to its sum of digits gives 133034164221296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211502561 + ... + 212130623.

Almost surely, 2^{133034164221296} is an apocalyptic number.

133034164221296 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 133034164221296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142114100073792).

133034164221296 is an abundant number, since it is smaller than the sum of its proper divisors (151194035926288).

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

133034164221296 is a wasteful number, since it uses less digits than its factorization.

133034164221296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628639 (or 628586 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 47.

The spelling of 133034164221296 in words is "one hundred thirty-three trillion, thirty-four billion, one hundred sixty-four million, two hundred twenty-one thousand, two hundred ninety-six".