133945542144 has 480 divisors, whose sum is σ = 425806318080. Its totient is φ = 40382447616.

The previous prime is 133945542139. The next prime is 133945542149. The reversal of 133945542144 is 441245549331.

It is a happy number.

133945542144 is a `hidden beast` number, since 1 + 3 + 3 + 94 + 5 + 542 + 14 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (133945542139) and next prime (133945542149).

It is a self number, because there is not a number n which added to its sum of digits gives 133945542144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133945542149) 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, 176942214 + ... + 176942970.

It is an arithmetic number, because the mean of its divisors is an integer number (887096496).

Almost surely, 2^133945542144 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 133945542144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212903159040).

133945542144 is an abundant number, since it is smaller than the sum of its proper divisors (291860775936).

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

133945542144 is a wasteful number, since it uses less digits than its factorization.

133945542144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 871 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 133945542144 in words is "one hundred thirty-three billion, nine hundred forty-five million, five hundred forty-two thousand, one hundred forty-four".