133370533274000 has 1280 divisors, whose sum is σ = 386311948738560. Its totient is φ = 44025175040000.

The previous prime is 133370533273963. The next prime is 133370533274003. The reversal of 133370533274000 is 472335073331.

It is a super-2 number, since 2×133370533274000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133370533274003) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 271630413755 + ... + 271630414245.

It is an arithmetic number, because the mean of its divisors is an integer number (301806209952).

Almost surely, 2^{133370533274000} is an apocalyptic number.

133370533274000 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 133370533274000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193155974369280).

133370533274000 is an abundant number, since it is smaller than the sum of its proper divisors (252941415464560).

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

133370533274000 is a wasteful number, since it uses less digits than its factorization.

133370533274000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 41.

The spelling of 133370533274000 in words is "one hundred thirty-three trillion, three hundred seventy billion, five hundred thirty-three million, two hundred seventy-four thousand".