133140040 has 128 divisors (see below), whose sum is σ = 346705920. Its totient is φ = 45561600.

The previous prime is 133140037. The next prime is 133140041. The reversal of 133140040 is 40041331.

It is a junction number, because it is equal to n+sod(n) for n = 133139996 and 133140023.

It is not an unprimeable number, because it can be changed into a prime (133140041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 586407 + ... + 586633.

It is an arithmetic number, because the mean of its divisors is an integer number (2708640).

Almost surely, 2^133140040 is an apocalyptic number.

133140040 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 133140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173352960).

133140040 is an abundant number, since it is smaller than the sum of its proper divisors (213565880).

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

133140040 is a wasteful number, since it uses less digits than its factorization.

133140040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 133140040 is about 11538.6325012975. The cubic root of 133140040 is about 510.6259646957.

Adding to 133140040 its reverse (40041331), we get a palindrome (173181371).

The spelling of 133140040 in words is "one hundred thirty-three million, one hundred forty thousand, forty".