133631698464 has 144 divisors (see below), whose sum is σ = 415362808224. Its totient is φ = 40416230400.

The previous prime is 133631698463. The next prime is 133631698471. The reversal of 133631698464 is 464896136331.

133631698464 is a `hidden beast` number, since 1 + 33 + 63 + 1 + 6 + 98 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 133631698464.

It is not an unprimeable number, because it can be changed into a prime (133631698463) 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 23 ways as a sum of consecutive naturals, for example, 1610047 + ... + 1691009.

It is an arithmetic number, because the mean of its divisors is an integer number (2884463946).

Almost surely, 2^133631698464 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 133631698464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207681404112).

133631698464 is an abundant number, since it is smaller than the sum of its proper divisors (281731109760).

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

133631698464 is a wasteful number, since it uses less digits than its factorization.

133631698464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81511 (or 81500 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The spelling of 133631698464 in words is "one hundred thirty-three billion, six hundred thirty-one million, six hundred ninety-eight thousand, four hundred sixty-four".