133950620160 has 960 divisors, whose sum is σ = 579112934400. Its totient is φ = 28987932672.

The previous prime is 133950620159. The next prime is 133950620191. The reversal of 133950620160 is 61026059331.

133950620160 is a `hidden beast` number, since 1 + 3 + 395 + 0 + 6 + 201 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82735831 + ... + 82737449.

It is an arithmetic number, because the mean of its divisors is an integer number (603242640).

Almost surely, 2^133950620160 is an apocalyptic number.

133950620160 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 133950620160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289556467200).

133950620160 is an abundant number, since it is smaller than the sum of its proper divisors (445162314240).

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

133950620160 is an equidigital number, since it uses as much as digits as its factorization.

133950620160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

Adding to 133950620160 its reverse (61026059331), we get a palindrome (194976679491).

The spelling of 133950620160 in words is "one hundred thirty-three billion, nine hundred fifty million, six hundred twenty thousand, one hundred sixty".