133210344960 has 1440 divisors, whose sum is σ = 603074115072. Its totient is φ = 27411333120.

The previous prime is 133210344947. The next prime is 133210345003. The reversal of 133210344960 is 69443012331.

133210344960 is a `hidden beast` number, since 13 + 3 + 210 + 344 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1293304269 + ... + 1293304371.

Almost surely, 2^133210344960 is an apocalyptic number.

133210344960 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 133210344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301537057536).

133210344960 is an abundant number, since it is smaller than the sum of its proper divisors (469863770112).

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

133210344960 is an frugal number, since it uses more digits than its factorization.

133210344960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 133210344960 in words is "one hundred thirty-three billion, two hundred ten million, three hundred forty-four thousand, nine hundred sixty".