133603976142 has 576 divisors, whose sum is σ = 400911114240. Its totient is φ = 31744742400.

The previous prime is 133603976117. The next prime is 133603976147. The reversal of 133603976142 is 241679306331.

133603976142 is a `hidden beast` number, since 1 + 33 + 603 + 9 + 7 + 6 + 1 + 4 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133603976147) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 493003467 + ... + 493003737.

It is an arithmetic number, because the mean of its divisors is an integer number (696026240).

Almost surely, 2^133603976142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133603976142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200455557120).

133603976142 is an abundant number, since it is smaller than the sum of its proper divisors (267307138098).

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

133603976142 is a wasteful number, since it uses less digits than its factorization.

133603976142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 133603976142 in words is "one hundred thirty-three billion, six hundred three million, nine hundred seventy-six thousand, one hundred forty-two".