133712040 has 256 divisors, whose sum is σ = 518400000. Its totient is φ = 26772480.

The previous prime is 133712017. The next prime is 133712053. The reversal of 133712040 is 40217331.

133712040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 133711998 and 133712016.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 267711 + ... + 268209.

It is an arithmetic number, because the mean of its divisors is an integer number (2025000).

Almost surely, 2^133712040 is an apocalyptic number.

133712040 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 133712040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259200000).

133712040 is an abundant number, since it is smaller than the sum of its proper divisors (384687960).

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

133712040 is a wasteful number, since it uses less digits than its factorization.

133712040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 133712040 is about 11563.3922358450. The cubic root of 133712040 is about 511.3561752052.

Adding to 133712040 its reverse (40217331), we get a palindrome (173929371).

The spelling of 133712040 in words is "one hundred thirty-three million, seven hundred twelve thousand, forty".