133404151200 has 288 divisors, whose sum is σ = 448965014400. Its totient is φ = 34380288000.

The previous prime is 133404151171. The next prime is 133404151217. The reversal of 133404151200 is 2151404331.

It is a happy number.

It is a super-2 number, since 2×133404151200² (a number of 23 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 13403826 + ... + 13413774.

It is an arithmetic number, because the mean of its divisors is an integer number (1558906300).

Almost surely, 2^133404151200 is an apocalyptic number.

133404151200 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 133404151200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224482507200).

133404151200 is an abundant number, since it is smaller than the sum of its proper divisors (315560863200).

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

133404151200 is a wasteful number, since it uses less digits than its factorization.

133404151200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10160 (or 10147 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 133404151200 its reverse (2151404331), we get a palindrome (135555555531).

The spelling of 133404151200 in words is "one hundred thirty-three billion, four hundred four million, one hundred fifty-one thousand, two hundred".