133002122240400 has 480 divisors, whose sum is σ = 493155938856960. Its totient is φ = 30010919178240.

The previous prime is 133002122240389. The next prime is 133002122240413. The reversal of 133002122240400 is 4042221200331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5781935299 + ... + 5781958301.

It is an arithmetic number, because the mean of its divisors is an integer number (1027408205952).

Almost surely, 2^{133002122240400} is an apocalyptic number.

133002122240400 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 133002122240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246577969428480).

133002122240400 is an abundant number, since it is smaller than the sum of its proper divisors (360153816616560).

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

133002122240400 is a wasteful number, since it uses less digits than its factorization.

133002122240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31823 (or 31812 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 133002122240400 its reverse (4042221200331), we get a palindrome (137044343440731).

The spelling of 133002122240400 in words is "one hundred thirty-three trillion, two billion, one hundred twenty-two million, two hundred forty thousand, four hundred".