133653660 has 96 divisors (see below), whose sum is σ = 452874240. Its totient is φ = 28750848.

The previous prime is 133653659. The next prime is 133653661. The reversal of 133653660 is 66356331.

It is an interprime number because it is at equal distance from previous prime (133653659) and next prime (133653661).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133653661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2220 + ... + 16499.

It is an arithmetic number, because the mean of its divisors is an integer number (4717440).

Almost surely, 2^133653660 is an apocalyptic number.

133653660 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 133653660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226437120).

133653660 is an abundant number, since it is smaller than the sum of its proper divisors (319220580).

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

133653660 is a wasteful number, since it uses less digits than its factorization.

133653660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18755 (or 18753 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 33.

The square root of 133653660 is about 11560.8676145002. The cubic root of 133653660 is about 511.2817433159.

The spelling of 133653660 in words is "one hundred thirty-three million, six hundred fifty-three thousand, six hundred sixty".