133701120 has 240 divisors, whose sum is σ = 529832160. Its totient is φ = 30523392.

The previous prime is 133701103. The next prime is 133701133. The reversal of 133701120 is 21107331.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 133701093 and 133701102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160866 + ... + 161694.

It is an arithmetic number, because the mean of its divisors is an integer number (2207634).

Almost surely, 2^133701120 is an apocalyptic number.

133701120 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 133701120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264916080).

133701120 is an abundant number, since it is smaller than the sum of its proper divisors (396131040).

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

133701120 is an equidigital number, since it uses as much as digits as its factorization.

133701120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 133701120 is about 11562.9200464243. The cubic root of 133701120 is about 511.3422543410.

Adding to 133701120 its reverse (21107331), we get a palindrome (154808451).

The spelling of 133701120 in words is "one hundred thirty-three million, seven hundred one thousand, one hundred twenty".