125131314 has 64 divisors (see below), whose sum is σ = 322117632. Its totient is φ = 31449600.

The previous prime is 125131309. The next prime is 125131319. The reversal of 125131314 is 413131521.

It is an interprime number because it is at equal distance from previous prime (125131309) and next prime (125131319).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (125131319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9954 + ... + 18690.

It is an arithmetic number, because the mean of its divisors is an integer number (5033088).

Almost surely, 2^125131314 is an apocalyptic number.

125131314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125131314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161058816).

125131314 is an abundant number, since it is smaller than the sum of its proper divisors (196986318).

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

125131314 is a wasteful number, since it uses less digits than its factorization.

125131314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8791.

The product of its digits is 360, while the sum is 21.

The square root of 125131314 is about 11186.2108866229. The cubic root of 125131314 is about 500.1750240593.

Adding to 125131314 its reverse (413131521), we get a palindrome (538262835).

The spelling of 125131314 in words is "one hundred twenty-five million, one hundred thirty-one thousand, three hundred fourteen".