133641457488 has 240 divisors, whose sum is σ = 470660875776. Its totient is φ = 34387349760.

The previous prime is 133641457483. The next prime is 133641457513. The reversal of 133641457488 is 884754146331.

133641457488 is a `hidden beast` number, since 1 + 3 + 3 + 64 + 1 + 4 + 574 + 8 + 8 = 666.

It is a super-2 number, since 2×133641457488² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133641457483) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1130095 + ... + 1242737.

Almost surely, 2^133641457488 is an apocalyptic number.

133641457488 is a gapful number since it is divisible by the number (18) 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 133641457488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235330437888).

133641457488 is an abundant number, since it is smaller than the sum of its proper divisors (337019418288).

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

133641457488 is a wasteful number, since it uses less digits than its factorization.

133641457488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112782 (or 112773 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 133641457488 in words is "one hundred thirty-three billion, six hundred forty-one million, four hundred fifty-seven thousand, four hundred eighty-eight".