133114420 has 48 divisors (see below), whose sum is σ = 298831680. Its totient is φ = 49631744.

The previous prime is 133114411. The next prime is 133114441. The reversal of 133114420 is 24411331.

133114420 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

133114420 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34551 + ... + 38209.

It is an arithmetic number, because the mean of its divisors is an integer number (6225660).

Almost surely, 2^133114420 is an apocalyptic number.

133114420 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 133114420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149415840).

133114420 is an abundant number, since it is smaller than the sum of its proper divisors (165717260).

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

133114420 is a wasteful number, since it uses less digits than its factorization.

133114420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3792 (or 3790 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 133114420 is about 11537.5222643339. The cubic root of 133114420 is about 510.5932095194.

Adding to 133114420 its reverse (24411331), we get a palindrome (157525751).

It can be divided in two parts, 1331 and 14420, that added together give a palindrome (15751).

The spelling of 133114420 in words is "one hundred thirty-three million, one hundred fourteen thousand, four hundred twenty".