133661616 has 80 divisors (see below), whose sum is σ = 398867328. Its totient is φ = 38118400.

The previous prime is 133661611. The next prime is 133661617. The reversal of 133661616 is 616166331.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (133661611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1531 + ... + 16421.

Almost surely, 2^133661616 is an apocalyptic number.

133661616 is a gapful number since it is divisible by the number (16) 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 133661616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199433664).

133661616 is an abundant number, since it is smaller than the sum of its proper divisors (265205712).

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

133661616 is a wasteful number, since it uses less digits than its factorization.

133661616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14930 (or 14924 counting only the distinct ones).

The product of its digits is 11664, while the sum is 33.

The square root of 133661616 is about 11561.2117012016. The cubic root of 133661616 is about 511.2918881356.

The spelling of 133661616 in words is "one hundred thirty-three million, six hundred sixty-one thousand, six hundred sixteen".