133756042464 has 144 divisors (see below), whose sum is σ = 416140124400. Its totient is φ = 40415662080.

The previous prime is 133756042417. The next prime is 133756042489. The reversal of 133756042464 is 464240657331.

133756042464 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 560 + 4 + 24 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1045144 + ... + 1166120.

It is an arithmetic number, because the mean of its divisors is an integer number (2889861975).

Almost surely, 2^133756042464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133756042464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208070062200).

133756042464 is an abundant number, since it is smaller than the sum of its proper divisors (282384081936).

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

133756042464 is a wasteful number, since it uses less digits than its factorization.

133756042464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121353 (or 121342 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

Adding to 133756042464 its reverse (464240657331), we get a palindrome (597996699795).

The spelling of 133756042464 in words is "one hundred thirty-three billion, seven hundred fifty-six million, forty-two thousand, four hundred sixty-four".