133516640 has 96 divisors (see below), whose sum is σ = 337042944. Its totient is φ = 49807360.

The previous prime is 133516631. The next prime is 133516661. The reversal of 133516640 is 46615331.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 519392 + ... + 519648.

It is an arithmetic number, because the mean of its divisors is an integer number (3510864).

Almost surely, 2^133516640 is an apocalyptic number.

133516640 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 133516640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168521472).

133516640 is an abundant number, since it is smaller than the sum of its proper divisors (203526304).

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

133516640 is a wasteful number, since it uses less digits than its factorization.

133516640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 133516640 is about 11554.9400690787. The cubic root of 133516640 is about 511.1069637695.

It can be divided in two parts, 13351 and 6640, that added together give a palindrome (19991).

The spelling of 133516640 in words is "one hundred thirty-three million, five hundred sixteen thousand, six hundred forty".