133648461576 has 288 divisors, whose sum is σ = 436547404800. Its totient is φ = 36791677440.

The previous prime is 133648461517. The next prime is 133648461593. The reversal of 133648461576 is 675164846331.

133648461576 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 4 + 8 + 4 + 61 + 576 = 666.

It is a super-2 number, since 2×133648461576² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26136396 + ... + 26141508.

It is an arithmetic number, because the mean of its divisors is an integer number (1515789600).

Almost surely, 2^133648461576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133648461576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218273702400).

133648461576 is an abundant number, since it is smaller than the sum of its proper divisors (302898943224).

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

133648461576 is a wasteful number, since it uses less digits than its factorization.

133648461576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5409 (or 5395 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 133648461576 in words is "one hundred thirty-three billion, six hundred forty-eight million, four hundred sixty-one thousand, five hundred seventy-six".