133458950455488 has 1120 divisors, whose sum is σ = 483361535078400. Its totient is φ = 36349323816960.

The previous prime is 133458950455351. The next prime is 133458950455577. The reversal of 133458950455488 is 884554059854331.

It is a happy number.

133458950455488 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 5 + 8 + 95 + 0 + 4 + 55 + 488 = 666.

It is a super-2 number, since 2×133458950455488² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3693120556 + ... + 3693156692.

Almost surely, 2^{133458950455488} is an apocalyptic number.

133458950455488 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 133458950455488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241680767539200).

133458950455488 is an abundant number, since it is smaller than the sum of its proper divisors (349902584622912).

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

133458950455488 is an equidigital number, since it uses as much as digits as its factorization.

133458950455488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36280 (or 36247 counting only the distinct ones).

The product of its (nonzero) digits is 1658880000, while the sum is 72.

The spelling of 133458950455488 in words is "one hundred thirty-three trillion, four hundred fifty-eight billion, nine hundred fifty million, four hundred fifty-five thousand, four hundred eighty-eight".