133763616 has 192 divisors, whose sum is σ = 472469760. Its totient is φ = 35942400.

The previous prime is 133763593. The next prime is 133763627. The reversal of 133763616 is 616367331.

133763616 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 636 + 16 = 666.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102166 + ... + 103466.

It is an arithmetic number, because the mean of its divisors is an integer number (2460780).

Almost surely, 2^133763616 is an apocalyptic number.

133763616 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 133763616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236234880).

133763616 is an abundant number, since it is smaller than the sum of its proper divisors (338706144).

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

133763616 is a wasteful number, since it uses less digits than its factorization.

133763616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1330 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 133763616 is about 11565.6221622531. The cubic root of 133763616 is about 511.4219142760.

The spelling of 133763616 in words is "one hundred thirty-three million, seven hundred sixty-three thousand, six hundred sixteen".