133406760 has 32 divisors (see below), whose sum is σ = 400220640. Its totient is φ = 35575104.

The previous prime is 133406737. The next prime is 133406761. The reversal of 133406760 is 67604331.

It is a super-2 number, since 2×133406760² = 35594727227395200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (133406761) 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, 555742 + ... + 555981.

It is an arithmetic number, because the mean of its divisors is an integer number (12506895).

Almost surely, 2^133406760 is an apocalyptic number.

133406760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133406760 is an abundant number, since it is smaller than the sum of its proper divisors (266813880).

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

133406760 is a wasteful number, since it uses less digits than its factorization.

133406760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111737 (or 1111733 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 133406760 is about 11550.1844141122. The cubic root of 133406760 is about 510.9667169650.

It can be divided in two parts, 13340 and 6760, that added together give a triangular number (20100 = T₂₀₀).

The spelling of 133406760 in words is "one hundred thirty-three million, four hundred six thousand, seven hundred sixty".