133706524640 has 192 divisors, whose sum is σ = 346674686400. Its totient is φ = 48430448640.

The previous prime is 133706524621. The next prime is 133706524663. The reversal of 133706524640 is 46425607331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56967947 + ... + 56970293.

It is an arithmetic number, because the mean of its divisors is an integer number (1805597325).

Almost surely, 2^133706524640 is an apocalyptic number.

133706524640 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 133706524640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173337343200).

133706524640 is an abundant number, since it is smaller than the sum of its proper divisors (212968161760).

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

133706524640 is a wasteful number, since it uses less digits than its factorization.

133706524640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2885 (or 2877 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 41.

The spelling of 133706524640 in words is "one hundred thirty-three billion, seven hundred six million, five hundred twenty-four thousand, six hundred forty".