123657345 has 48 divisors (see below), whose sum is σ = 245781120. Its totient is φ = 56339712.

The previous prime is 123657323. The next prime is 123657437. The reversal of 123657345 is 543756321.

123657345 is a `hidden beast` number, since 12 + 36 + 573 + 45 = 666.

It is not a de Polignac number, because 123657345 - 2⁷ = 123657217 is a prime.

It is a super-2 number, since 2×123657345² = 30582277944898050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143526 + ... + 144384.

It is an arithmetic number, because the mean of its divisors is an integer number (5120440).

Almost surely, 2^123657345 is an apocalyptic number.

123657345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123657345 is a deficient number, since it is larger than the sum of its proper divisors (122123775).

123657345 is a wasteful number, since it uses less digits than its factorization.

123657345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1331 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 123657345 is about 11120.1324182763. The cubic root of 123657345 is about 498.2033451286.

The spelling of 123657345 in words is "one hundred twenty-three million, six hundred fifty-seven thousand, three hundred forty-five".