133541120 has 162 divisors, whose sum is σ = 358620822. Its totient is φ = 47628288.

The previous prime is 133541081. The next prime is 133541129. The reversal of 133541120 is 21145331.

It can be written as a sum of positive squares in 3 ways, for example, as 44729344 + 88811776 = 6688^2 + 9424^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 133541092 and 133541101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133541129) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7028471 + ... + 7028489.

Almost surely, 2^133541120 is an apocalyptic number.

133541120 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 133541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179310411).

133541120 is an abundant number, since it is smaller than the sum of its proper divisors (225079702).

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

133541120 is an equidigital number, since it uses as much as digits as its factorization.

133541120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 133541120 is about 11555.9993077189. Note that the first 3 decimals coincide. The cubic root of 133541120 is about 511.1381986624.

Multiplying 133541120 by its sum of digits (20), we get a square (2670822400 = 51680²).

133541120 divided by its sum of digits (20) gives a square (6677056 = 2584²).

Adding to 133541120 its reverse (21145331), we get a palindrome (154686451).

The spelling of 133541120 in words is "one hundred thirty-three million, five hundred forty-one thousand, one hundred twenty".