123265152 has 112 divisors (see below), whose sum is σ = 368461230. Its totient is φ = 41057280.

The previous prime is 123265127. The next prime is 123265169. The reversal of 123265152 is 251562321.

It is a happy number.

123265152 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 651 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 78428736 + 44836416 = 8856^2 + 6696^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 92652 + ... + 93972.

Almost surely, 2^123265152 is an apocalyptic number.

123265152 is a gapful number since it is divisible by the number (12) 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 123265152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184230615).

123265152 is an abundant number, since it is smaller than the sum of its proper divisors (245196078).

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

123265152 is an frugal number, since it uses more digits than its factorization.

123265152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1326 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 123265152 is about 11102.4840463745. The cubic root of 123265152 is about 497.6760849046.

The spelling of 123265152 in words is "one hundred twenty-three million, two hundred sixty-five thousand, one hundred fifty-two".