133459949245104 has 360 divisors, whose sum is σ = 411799168388608. Its totient is φ = 41835341583360.

The previous prime is 133459949245099. The next prime is 133459949245123. The reversal of 133459949245104 is 401542949954331.

133459949245104 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 5 + 9 + 94 + 9 + 24 + 510 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1383142749 + ... + 1383239235.

Almost surely, 2^{133459949245104} 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 133459949245104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205899584194304).

133459949245104 is an abundant number, since it is smaller than the sum of its proper divisors (278339219143504).

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

133459949245104 is a wasteful number, since it uses less digits than its factorization.

133459949245104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97775 (or 97740 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 133459949245104 in words is "one hundred thirty-three trillion, four hundred fifty-nine billion, nine hundred forty-nine million, two hundred forty-five thousand, one hundred four".