133963137 has 48 divisors (see below), whose sum is σ = 245281920. Its totient is φ = 68428800.

The previous prime is 133963133. The next prime is 133963157. The reversal of 133963137 is 731369331.

133963137 is a `hidden beast` number, since 1 + 339 + 6 + 313 + 7 = 666.

It is not a de Polignac number, because 133963137 - 2² = 133963133 is a prime.

It is a super-2 number, since 2×133963137² = 35892244149761538, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133963133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40689 + ... + 43857.

It is an arithmetic number, because the mean of its divisors is an integer number (5110040).

Almost surely, 2^133963137 is an apocalyptic number.

It is an amenable number.

133963137 is a deficient number, since it is larger than the sum of its proper divisors (111318783).

133963137 is a wasteful number, since it uses less digits than its factorization.

133963137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3254 (or 3251 counting only the distinct ones).

The product of its digits is 30618, while the sum is 36.

The square root of 133963137 is about 11574.2445541815. The cubic root of 133963137 is about 511.6760658982.

The spelling of 133963137 in words is "one hundred thirty-three million, nine hundred sixty-three thousand, one hundred thirty-seven".