133259129640 has 672 divisors, whose sum is σ = 556468859520. Its totient is φ = 28108933632.

The previous prime is 133259129587. The next prime is 133259129659. The reversal of 133259129640 is 46921952331.

133259129640 is a `hidden beast` number, since 1 + 3 + 32 + 591 + 29 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 34494349 + ... + 34498211.

It is an arithmetic number, because the mean of its divisors is an integer number (828078660).

Almost surely, 2^133259129640 is an apocalyptic number.

133259129640 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 133259129640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278234429760).

133259129640 is an abundant number, since it is smaller than the sum of its proper divisors (423209729880).

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

133259129640 is a wasteful number, since it uses less digits than its factorization.

133259129640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3925 (or 3893 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 133259129640 in words is "one hundred thirty-three billion, two hundred fifty-nine million, one hundred twenty-nine thousand, six hundred forty".