133509094992 has 1120 divisors, whose sum is σ = 519141772800. Its totient is φ = 32920473600.

The previous prime is 133509094973. The next prime is 133509094997. The reversal of 133509094992 is 299490905331.

133509094992 is a `hidden beast` number, since 1 + 3 + 3 + 509 + 0 + 9 + 49 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133509094997) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 884166117 + ... + 884166267.

It is an arithmetic number, because the mean of its divisors is an integer number (463519440).

Almost surely, 2^133509094992 is an apocalyptic number.

133509094992 is a gapful number since it is divisible by the number (12) 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 133509094992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259570886400).

133509094992 is an abundant number, since it is smaller than the sum of its proper divisors (385632677808).

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

133509094992 is a wasteful number, since it uses less digits than its factorization.

133509094992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 54.

The spelling of 133509094992 in words is "one hundred thirty-three billion, five hundred nine million, ninety-four thousand, nine hundred ninety-two".