133133148720 has 960 divisors, whose sum is σ = 552243654144. Its totient is φ = 29382082560.

The previous prime is 133133148719. The next prime is 133133148721. The reversal of 133133148720 is 27841331331.

133133148720 is a `hidden beast` number, since 1 + 3 + 313 + 314 + 8 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (133133148719) and next prime (133133148721).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (133133148721) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 230733072 + ... + 230733648.

Almost surely, 2^133133148720 is an apocalyptic number.

133133148720 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 133133148720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276121827072).

133133148720 is an abundant number, since it is smaller than the sum of its proper divisors (419110505424).

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

133133148720 is a wasteful number, since it uses less digits than its factorization.

133133148720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 133133148720 in words is "one hundred thirty-three billion, one hundred thirty-three million, one hundred forty-eight thousand, seven hundred twenty".