133393662720 has 216 divisors, whose sum is σ = 463468824000. Its totient is φ = 35422076928.

The previous prime is 133393662679. The next prime is 133393662737. The reversal of 133393662720 is 27266393331.

133393662720 is a `hidden beast` number, since 13 + 3 + 3 + 9 + 3 + 6 + 627 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2729056 + ... + 2777504.

It is an arithmetic number, because the mean of its divisors is an integer number (2145689000).

Almost surely, 2^133393662720 is an apocalyptic number.

133393662720 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 133393662720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231734412000).

133393662720 is an abundant number, since it is smaller than the sum of its proper divisors (330075161280).

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

133393662720 is a wasteful number, since it uses less digits than its factorization.

133393662720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48715 (or 48698 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 45.

The spelling of 133393662720 in words is "one hundred thirty-three billion, three hundred ninety-three million, six hundred sixty-two thousand, seven hundred twenty".