133079040 has 252 divisors, whose sum is σ = 486869994. Its totient is φ = 33619968.

The previous prime is 133079033. The next prime is 133079087. The reversal of 133079040 is 40970331.

It can be written as a sum of positive squares in only one way, i.e., 119771136 + 13307904 = 10944^2 + 3648^2 .

It is a junction number, because it is equal to n+sod(n) for n = 133078995 and 133079013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7004151 + ... + 7004169.

Almost surely, 2^133079040 is an apocalyptic number.

133079040 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 133079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243434997).

133079040 is an abundant number, since it is smaller than the sum of its proper divisors (353790954).

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

133079040 is an equidigital number, since it uses as much as digits as its factorization.

133079040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 133079040 is about 11535.9889042942. The cubic root of 133079040 is about 510.5479692706.

The spelling of 133079040 in words is "one hundred thirty-three million, seventy-nine thousand, forty".