133203970924416 has 1024 divisors, whose sum is σ = 474354600192000. Its totient is φ = 35992270798848.

The previous prime is 133203970924351. The next prime is 133203970924417. The reversal of 133203970924416 is 614429079302331.

133203970924416 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 0 + 397 + 0 + 9 + 244 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133203970924417) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25024226331 + ... + 25024231653.

It is an arithmetic number, because the mean of its divisors is an integer number (463236914250).

Almost surely, 2^{133203970924416} is an apocalyptic number.

133203970924416 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 133203970924416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237177300096000).

133203970924416 is an abundant number, since it is smaller than the sum of its proper divisors (341150629267584).

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

133203970924416 is a wasteful number, since it uses less digits than its factorization.

133203970924416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6108 (or 6090 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 133203970924416 in words is "one hundred thirty-three trillion, two hundred three billion, nine hundred seventy million, nine hundred twenty-four thousand, four hundred sixteen".