133344251040 has 768 divisors, whose sum is σ = 567305109504. Its totient is φ = 25425100800.

The previous prime is 133344250961. The next prime is 133344251071. The reversal of 133344251040 is 40152443331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 133344250989 and 133344251007.

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, 91770954 + ... + 91772406.

It is an arithmetic number, because the mean of its divisors is an integer number (738678528).

Almost surely, 2^133344251040 is an apocalyptic number.

133344251040 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 133344251040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283652554752).

133344251040 is an abundant number, since it is smaller than the sum of its proper divisors (433960858464).

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

133344251040 is a wasteful number, since it uses less digits than its factorization.

133344251040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 133344251040 its reverse (40152443331), we get a palindrome (173496694371).

The spelling of 133344251040 in words is "one hundred thirty-three billion, three hundred forty-four million, two hundred fifty-one thousand, forty".