123149250 has 144 divisors (see below), whose sum is σ = 387708984. Its totient is φ = 28123200.

The previous prime is 123149249. The next prime is 123149261. The reversal of 123149250 is 52941321.

123149250 is a `hidden beast` number, since 123 + 1 + 492 + 50 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9790641 + 113358609 = 3129^2 + 10647^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 109692 + ... + 110808.

Almost surely, 2^123149250 is an apocalyptic number.

123149250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123149250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193854492).

123149250 is an abundant number, since it is smaller than the sum of its proper divisors (264559734).

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

123149250 is a wasteful number, since it uses less digits than its factorization.

123149250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 123149250 is about 11097.2631761169. The cubic root of 123149250 is about 497.5200533991.

The spelling of 123149250 in words is "one hundred twenty-three million, one hundred forty-nine thousand, two hundred fifty".