123133257 has 32 divisors (see below), whose sum is σ = 200188800. Its totient is φ = 74333376.

The previous prime is 123133253. The next prime is 123133259. The reversal of 123133257 is 752331321.

It is not a de Polignac number, because 123133257 - 2² = 123133253 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 123133257.

It is not an unprimeable number, because it can be changed into a prime (123133253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15294 + ... + 21912.

It is an arithmetic number, because the mean of its divisors is an integer number (6255900).

Almost surely, 2^123133257 is an apocalyptic number.

It is an amenable number.

123133257 is a deficient number, since it is larger than the sum of its proper divisors (77055543).

123133257 is a wasteful number, since it uses less digits than its factorization.

123133257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6694 (or 6688 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 123133257 is about 11096.5425696475. The cubic root of 123133257 is about 497.4985153529.

Adding to 123133257 its reverse (752331321), we get a palindrome (875464578).

The spelling of 123133257 in words is "one hundred twenty-three million, one hundred thirty-three thousand, two hundred fifty-seven".