133434021120 has 288 divisors, whose sum is σ = 444813513984. Its totient is φ = 34057420800.

The previous prime is 133434021103. The next prime is 133434021121. The reversal of 133434021120 is 21120434331.

It is a happy number.

It is a super-3 number, since 3×133434021120³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133434021121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8336325 + ... + 8352315.

It is an arithmetic number, because the mean of its divisors is an integer number (1544491368).

Almost surely, 2^133434021120 is an apocalyptic number.

133434021120 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 133434021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222406756992).

133434021120 is an abundant number, since it is smaller than the sum of its proper divisors (311379492864).

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

133434021120 is a wasteful number, since it uses less digits than its factorization.

133434021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16109 (or 16095 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 133434021120 its reverse (21120434331), we get a palindrome (154554455451).

The spelling of 133434021120 in words is "one hundred thirty-three billion, four hundred thirty-four million, twenty-one thousand, one hundred twenty".