133439120 has 80 divisors (see below), whose sum is σ = 334264320. Its totient is φ = 49354752.

The previous prime is 133439093. The next prime is 133439129. The reversal of 133439120 is 21934331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 133439120.

It is not an unprimeable number, because it can be changed into a prime (133439129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79409 + ... + 81071.

It is an arithmetic number, because the mean of its divisors is an integer number (4178304).

Almost surely, 2^133439120 is an apocalyptic number.

133439120 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 133439120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167132160).

133439120 is an abundant number, since it is smaller than the sum of its proper divisors (200825200).

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

133439120 is a wasteful number, since it uses less digits than its factorization.

133439120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 133439120 is about 11551.5851726073. The cubic root of 133439120 is about 511.0080280805.

The spelling of 133439120 in words is "one hundred thirty-three million, four hundred thirty-nine thousand, one hundred twenty".