125849232 has 120 divisors (see below), whose sum is σ = 377353080. Its totient is φ = 39014400.

The previous prime is 125849231. The next prime is 125849233. The reversal of 125849232 is 232948521.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (125849231) and next prime (125849233).

It can be written as a sum of positive squares in 4 ways, for example, as 89415936 + 36433296 = 9456^2 + 6036^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (125849231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246994 + ... + 247502.

It is an arithmetic number, because the mean of its divisors is an integer number (3144609).

Almost surely, 2^125849232 is an apocalyptic number.

125849232 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 125849232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188676540).

125849232 is an abundant number, since it is smaller than the sum of its proper divisors (251503848).

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

125849232 is a wasteful number, since it uses less digits than its factorization.

125849232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 632 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 125849232 is about 11218.2544096664. The cubic root of 125849232 is about 501.1297547193.

The spelling of 125849232 in words is "one hundred twenty-five million, eight hundred forty-nine thousand, two hundred thirty-two".