133187616 has 72 divisors (see below), whose sum is σ = 380225664. Its totient is φ = 44223360.

The previous prime is 133187611. The next prime is 133187627. The reversal of 133187616 is 616781331.

133187616 is a `hidden beast` number, since 1 + 3 + 31 + 8 + 7 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (133187611) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88825 + ... + 90311.

It is an arithmetic number, because the mean of its divisors is an integer number (5280912).

Almost surely, 2^133187616 is an apocalyptic number.

133187616 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 133187616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190112832).

133187616 is an abundant number, since it is smaller than the sum of its proper divisors (247038048).

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

133187616 is a wasteful number, since it uses less digits than its factorization.

133187616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814 (or 1803 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 133187616 is about 11540.6939132792. The cubic root of 133187616 is about 510.6867794784.

The spelling of 133187616 in words is "one hundred thirty-three million, one hundred eighty-seven thousand, six hundred sixteen".