133644650760 has 320 divisors, whose sum is σ = 461729030400. Its totient is φ = 34657818624.

The previous prime is 133644650669. The next prime is 133644650771. The reversal of 133644650760 is 67056446331.

133644650760 is a `hidden beast` number, since 13 + 36 + 4 + 46 + 507 + 60 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17145424 + ... + 17153216.

It is an arithmetic number, because the mean of its divisors is an integer number (1442903220).

Almost surely, 2^133644650760 is an apocalyptic number.

133644650760 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 133644650760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230864515200).

133644650760 is an abundant number, since it is smaller than the sum of its proper divisors (328084379640).

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

133644650760 is a wasteful number, since it uses less digits than its factorization.

133644650760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7962 (or 7949 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 133644650760 in words is "one hundred thirty-three billion, six hundred forty-four million, six hundred fifty thousand, seven hundred sixty".