133097275933440 has 1728 divisors, whose sum is σ = 532726270820352. Its totient is φ = 27727980134400.

The previous prime is 133097275933429. The next prime is 133097275933513. The reversal of 133097275933440 is 44339572790331.

It is a super-3 number, since 3×133097275933440³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 162116048230 + ... + 162116049050.

It is an arithmetic number, because the mean of its divisors is an integer number (308290665984).

Almost surely, 2^{133097275933440} is an apocalyptic number.

133097275933440 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 133097275933440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266363135410176).

133097275933440 is an abundant number, since it is smaller than the sum of its proper divisors (399628994886912).

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

133097275933440 is a wasteful number, since it uses less digits than its factorization.

133097275933440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 60.

The spelling of 133097275933440 in words is "one hundred thirty-three trillion, ninety-seven billion, two hundred seventy-five million, nine hundred thirty-three thousand, four hundred forty".