125874640 has 40 divisors (see below), whose sum is σ = 294309288. Its totient is φ = 50065920.

The previous prime is 125874599. The next prime is 125874643. The reversal of 125874640 is 46478521.

It can be written as a sum of positive squares in 4 ways, for example, as 10784656 + 115089984 = 3284^2 + 10728^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 125874640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125874643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10134 + ... + 18826.

Almost surely, 2^125874640 is an apocalyptic number.

125874640 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 125874640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147154644).

125874640 is an abundant number, since it is smaller than the sum of its proper divisors (168434648).

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

125874640 is a wasteful number, since it uses less digits than its factorization.

125874640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8887 (or 8881 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 125874640 is about 11219.3867925123. The cubic root of 125874640 is about 501.1634772083.

The spelling of 125874640 in words is "one hundred twenty-five million, eight hundred seventy-four thousand, six hundred forty".