125849100 has 216 divisors, whose sum is σ = 416643472. Its totient is φ = 29145600.

The previous prime is 125849093. The next prime is 125849167. The reversal of 125849100 is 1948521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 2063070 + ... + 2063130.

Almost surely, 2^125849100 is an apocalyptic number.

125849100 is a gapful number since it is divisible by the number (10) 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 125849100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208321736).

125849100 is an abundant number, since it is smaller than the sum of its proper divisors (290794372).

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

125849100 is a wasteful number, since it uses less digits than its factorization.

125849100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 125849100 is about 11218.2485263966. The cubic root of 125849100 is about 501.1295795119.

The spelling of 125849100 in words is "one hundred twenty-five million, eight hundred forty-nine thousand, one hundred".