125517700 has 72 divisors (see below), whose sum is σ = 339603264. Its totient is φ = 39120000.

The previous prime is 125517697. The next prime is 125517703. The reversal of 125517700 is 7715521.

It is an interprime number because it is at equal distance from previous prime (125517697) and next prime (125517703).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (125517703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 451 + ... + 15850.

It is an arithmetic number, because the mean of its divisors is an integer number (4716712).

Almost surely, 2^125517700 is an apocalyptic number.

125517700 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 125517700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169801632).

125517700 is an abundant number, since it is smaller than the sum of its proper divisors (214085564).

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

125517700 is a wasteful number, since it uses less digits than its factorization.

125517700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16333 (or 16326 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 28.

The square root of 125517700 is about 11203.4682130133. The cubic root of 125517700 is about 500.6893159171.

The spelling of 125517700 in words is "one hundred twenty-five million, five hundred seventeen thousand, seven hundred".