133681040 has 40 divisors (see below), whose sum is σ = 312208440. Its totient is φ = 53231616.

The previous prime is 133681003. The next prime is 133681043. The reversal of 133681040 is 40186331.

It can be written as a sum of positive squares in 4 ways, for example, as 30780304 + 102900736 = 5548^2 + 10144^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (133681043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14672 + ... + 21968.

It is an arithmetic number, because the mean of its divisors is an integer number (7805211).

Almost surely, 2^133681040 is an apocalyptic number.

133681040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133681040 is an abundant number, since it is smaller than the sum of its proper divisors (178527400).

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

133681040 is a wasteful number, since it uses less digits than its factorization.

133681040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7539 (or 7533 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 133681040 is about 11562.0517210398. The cubic root of 133681040 is about 511.3166542898.

The spelling of 133681040 in words is "one hundred thirty-three million, six hundred eighty-one thousand, forty".