133637772240 has 640 divisors, whose sum is σ = 560687923200. Its totient is φ = 28933065216.

The previous prime is 133637772217. The next prime is 133637772251. The reversal of 133637772240 is 42277736331.

133637772240 is a `hidden beast` number, since 1 + 3 + 3 + 637 + 7 + 7 + 2 + 2 + 4 + 0 = 666.

It is a super-2 number, since 2×133637772240² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23266809 + ... + 23272551.

It is an arithmetic number, because the mean of its divisors is an integer number (876074880).

Almost surely, 2^133637772240 is an apocalyptic number.

133637772240 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 133637772240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280343961600).

133637772240 is an abundant number, since it is smaller than the sum of its proper divisors (427050150960).

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

133637772240 is an equidigital number, since it uses as much as digits as its factorization.

133637772240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5803 (or 5779 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 45.

The spelling of 133637772240 in words is "one hundred thirty-three billion, six hundred thirty-seven million, seven hundred seventy-two thousand, two hundred forty".