123653145 has 64 divisors (see below), whose sum is σ = 248647680. Its totient is φ = 50976000.

The previous prime is 123653137. The next prime is 123653147. The reversal of 123653145 is 541356321.

It is not a de Polignac number, because 123653145 - 2³ = 123653137 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (123653147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 174051 + ... + 174759.

It is an arithmetic number, because the mean of its divisors is an integer number (3885120).

Almost surely, 2^123653145 is an apocalyptic number.

123653145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123653145 is an abundant number, since it is smaller than the sum of its proper divisors (124994535).

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

123653145 is a wasteful number, since it uses less digits than its factorization.

123653145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886.

The product of its digits is 10800, while the sum is 30.

The square root of 123653145 is about 11119.9435700007. The cubic root of 123653145 is about 498.1977046017.

The spelling of 123653145 in words is "one hundred twenty-three million, six hundred fifty-three thousand, one hundred forty-five".