133538455008 has 576 divisors, whose sum is σ = 469116748800. Its totient is φ = 36824094720.

The previous prime is 133538454997. The next prime is 133538455033. The reversal of 133538455008 is 800554835331.

133538455008 is a `hidden beast` number, since 13 + 3 + 5 + 3 + 84 + 550 + 0 + 8 = 666.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 185727673 + ... + 185728391.

It is an arithmetic number, because the mean of its divisors is an integer number (814438800).

Almost surely, 2^133538455008 is an apocalyptic number.

133538455008 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 133538455008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234558374400).

133538455008 is an abundant number, since it is smaller than the sum of its proper divisors (335578293792).

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

133538455008 is a wasteful number, since it uses less digits than its factorization.

133538455008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 133538455008 in words is "one hundred thirty-three billion, five hundred thirty-eight million, four hundred fifty-five thousand, eight".