133309383948 has 288 divisors, whose sum is σ = 382175539200. Its totient is φ = 38901219840.

The previous prime is 133309383943. The next prime is 133309383967. The reversal of 133309383948 is 849383903331.

133309383948 is a `hidden beast` number, since 133 + 30 + 93 + 8 + 394 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 133309383894 and 133309383903.

It is not an unprimeable number, because it can be changed into a prime (133309383941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 179420065 + ... + 179420807.

It is an arithmetic number, because the mean of its divisors is an integer number (1326998400).

Almost surely, 2^133309383948 is an apocalyptic number.

133309383948 is a gapful number since it is divisible by the number (18) 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 133309383948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191087769600).

133309383948 is an abundant number, since it is smaller than the sum of its proper divisors (248866155252).

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

133309383948 is a wasteful number, since it uses less digits than its factorization.

133309383948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 133309383948 in words is "one hundred thirty-three billion, three hundred nine million, three hundred eighty-three thousand, nine hundred forty-eight".