133670338560 has 1024 divisors, whose sum is σ = 539043724800. Its totient is φ = 31142707200.

The previous prime is 133670338553. The next prime is 133670338567. The reversal of 133670338560 is 65833076331.

133670338560 is a `hidden beast` number, since 13 + 3 + 6 + 70 + 3 + 3 + 8 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (133670338553) and next prime (133670338567).

It is a tau number, because it is divible by the number of its divisors (1024).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133670338567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1995079647 + ... + 1995079713.

Almost surely, 2^133670338560 is an apocalyptic number.

133670338560 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 133670338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269521862400).

133670338560 is an abundant number, since it is smaller than the sum of its proper divisors (405373386240).

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

133670338560 is an equidigital number, since it uses as much as digits as its factorization.

133670338560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 133670338560 in words is "one hundred thirty-three billion, six hundred seventy million, three hundred thirty-eight thousand, five hundred sixty".