133207029984 has 192 divisors, whose sum is σ = 408450470400. Its totient is φ = 37996277760.

The previous prime is 133207029973. The next prime is 133207030003. The reversal of 133207029984 is 489920702331.

It is a super-2 number, since 2×133207029984² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22157539 + ... + 22163549.

It is an arithmetic number, because the mean of its divisors is an integer number (2127346200).

Almost surely, 2^133207029984 is an apocalyptic number.

133207029984 is a gapful number since it is divisible by the number (14) 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 133207029984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204225235200).

133207029984 is an abundant number, since it is smaller than the sum of its proper divisors (275243440416).

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

133207029984 is an equidigital number, since it uses as much as digits as its factorization.

133207029984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6718 (or 6696 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 133207029984 in words is "one hundred thirty-three billion, two hundred seven million, twenty-nine thousand, nine hundred eighty-four".