133120040 has 32 divisors (see below), whose sum is σ = 301267080. Its totient is φ = 52937472.

The previous prime is 133120037. The next prime is 133120049. The reversal of 133120040 is 40021331.

It can be written as a sum of positive squares in 4 ways, for example, as 109286116 + 23833924 = 10454^2 + 4882^2 .

It is a junction number, because it is equal to n+sod(n) for n = 133119997 and 133120024.

It is not an unprimeable number, because it can be changed into a prime (133120049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2699 + ... + 16538.

Almost surely, 2^133120040 is an apocalyptic number.

133120040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133120040 is an abundant number, since it is smaller than the sum of its proper divisors (168147040).

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

133120040 is a wasteful number, since it uses less digits than its factorization.

133120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19421 (or 19417 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 133120040 is about 11537.7658149227. The cubic root of 133120040 is about 510.6003950506.

Adding to 133120040 its reverse (40021331), we get a palindrome (173141371).

The spelling of 133120040 in words is "one hundred thirty-three million, one hundred twenty thousand, forty".