133451105000 has 320 divisors, whose sum is σ = 342748098000. Its totient is φ = 48496640000.

The previous prime is 133451104957. The next prime is 133451105027. The reversal of 133451105000 is 501154331.

It can be written as a sum of positive squares in 40 ways, for example, as 105044699236 + 28406405764 = 324106^2 + 168542^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 519264872 + ... + 519265128.

Almost surely, 2^133451105000 is an apocalyptic number.

133451105000 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 133451105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171374049000).

133451105000 is an abundant number, since it is smaller than the sum of its proper divisors (209296993000).

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

133451105000 is a wasteful number, since it uses less digits than its factorization.

133451105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

Adding to 133451105000 its reverse (501154331), we get a palindrome (133952259331).

The spelling of 133451105000 in words is "one hundred thirty-three billion, four hundred fifty-one million, one hundred five thousand".