133403940 has 108 divisors (see below), whose sum is σ = 427285404. Its totient is φ = 33685632.

The previous prime is 133403911. The next prime is 133403951. The reversal of 133403940 is 49304331.

It can be written as a sum of positive squares in 2 ways, for example, as 58339044 + 75064896 = 7638^2 + 8664^2 .

It is a super-2 number, since 2×133403940² = 35593222415047200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 63954 + ... + 66006.

Almost surely, 2^133403940 is an apocalyptic number.

133403940 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 133403940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213642702).

133403940 is an abundant number, since it is smaller than the sum of its proper divisors (293881464).

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

133403940 is a wasteful number, since it uses less digits than its factorization.

133403940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 133403940 is about 11550.0623374941. The cubic root of 133403940 is about 510.9631166070.

The spelling of 133403940 in words is "one hundred thirty-three million, four hundred three thousand, nine hundred forty".