133501200464 has 80 divisors (see below), whose sum is σ = 280378460880. Its totient is φ = 61349068800.

The previous prime is 133501200403. The next prime is 133501200467. The reversal of 133501200464 is 464002105331.

It can be written as a sum of positive squares in 8 ways, for example, as 4447822864 + 129053377600 = 66692^2 + 359240^2 .

It is a super-2 number, since 2×133501200464² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133501200467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1972172 + ... + 2038740.

It is an arithmetic number, because the mean of its divisors is an integer number (3504730761).

Almost surely, 2^133501200464 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 133501200464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140189230440).

133501200464 is an abundant number, since it is smaller than the sum of its proper divisors (146877260416).

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

133501200464 is a wasteful number, since it uses less digits than its factorization.

133501200464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66768 (or 66762 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 133501200464 its reverse (464002105331), we get a palindrome (597503305795).

The spelling of 133501200464 in words is "one hundred thirty-three billion, five hundred one million, two hundred thousand, four hundred sixty-four".