133552257108480 has 2880 divisors, whose sum is σ = 578520952289280. Its totient is φ = 28326238617600.

The previous prime is 133552257108461. The next prime is 133552257108499. The reversal of 133552257108480 is 84801752255331.

133552257108480 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 5 + 2 + 2 + 57 + 108 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (133552257108461) and next prime (133552257108499).

It is a tau number, because it is divible by the number of its divisors (2880).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 183703241877 + ... + 183703242603.

It is an arithmetic number, because the mean of its divisors is an integer number (200875330656).

Almost surely, 2^{133552257108480} is an apocalyptic number.

133552257108480 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 133552257108480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289260476144640).

133552257108480 is an abundant number, since it is smaller than the sum of its proper divisors (444968695180800).

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

133552257108480 is a wasteful number, since it uses less digits than its factorization.

133552257108480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 133552257108480 in words is "one hundred thirty-three trillion, five hundred fifty-two billion, two hundred fifty-seven million, one hundred eight thousand, four hundred eighty".