133947858240 has 504 divisors, whose sum is σ = 546087863880. Its totient is φ = 30037303296.

The previous prime is 133947858223. The next prime is 133947858251. The reversal of 133947858240 is 42858749331.

It is a happy number.

133947858240 is a `hidden beast` number, since 1 + 3 + 394 + 7 + 8 + 5 + 8 + 240 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20825953344 + 113121904896 = 144312^2 + 336336^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7470406 + ... + 7488314.

Almost surely, 2^133947858240 is an apocalyptic number.

133947858240 is a gapful number since it is divisible by the number (10) 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 133947858240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273043931940).

133947858240 is an abundant number, since it is smaller than the sum of its proper divisors (412140005640).

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

133947858240 is a wasteful number, since it uses less digits than its factorization.

133947858240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17999 (or 17979 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 133947858240 in words is "one hundred thirty-three billion, nine hundred forty-seven million, eight hundred fifty-eight thousand, two hundred forty".