125141200 has 60 divisors (see below), whose sum is σ = 302395948. Its totient is φ = 49766400.

The previous prime is 125141171. The next prime is 125141207. The reversal of 125141200 is 2141521.

It can be written as a sum of positive squares in 6 ways, for example, as 2286144 + 122855056 = 1512^2 + 11084^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125141207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76390 + ... + 78010.

Almost surely, 2^125141200 is an apocalyptic number.

125141200 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 125141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151197974).

125141200 is an abundant number, since it is smaller than the sum of its proper divisors (177254748).

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

125141200 is a wasteful number, since it uses less digits than its factorization.

125141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 125141200 is about 11186.6527612150. The cubic root of 125141200 is about 500.1881958224.

Adding to 125141200 its reverse (2141521), we get a palindrome (127282721).

The spelling of 125141200 in words is "one hundred twenty-five million, one hundred forty-one thousand, two hundred".