125742618 has 40 divisors (see below), whose sum is σ = 284381460. Its totient is φ = 41523840.

The previous prime is 125742607. The next prime is 125742619. The reversal of 125742618 is 816247521.

It can be written as a sum of positive squares in 2 ways, for example, as 119968209 + 5774409 = 10953^2 + 2403^2 .

It is a super-2 number, since 2×125742618² = 31622411962987848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (125742619) 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 19 ways as a sum of consecutive naturals, for example, 14098 + ... + 21218.

Almost surely, 2^125742618 is an apocalyptic number.

125742618 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125742618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142190730).

125742618 is an abundant number, since it is smaller than the sum of its proper divisors (158638842).

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

125742618 is a wasteful number, since it uses less digits than its factorization.

125742618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7244 (or 7235 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 125742618 is about 11213.5015940606. The cubic root of 125742618 is about 500.9882029565.

The spelling of 125742618 in words is "one hundred twenty-five million, seven hundred forty-two thousand, six hundred eighteen".