125887840 has 96 divisors (see below), whose sum is σ = 331490880. Its totient is φ = 44857344.

The previous prime is 125887831. The next prime is 125887849. The reversal of 125887840 is 48788521.

It is an interprime number because it is at equal distance from previous prime (125887831) and next prime (125887849).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125887849) 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 15 ways as a sum of consecutive naturals, for example, 59277 + ... + 61363.

It is an arithmetic number, because the mean of its divisors is an integer number (3453030).

Almost surely, 2^125887840 is an apocalyptic number.

125887840 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 125887840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165745440).

125887840 is an abundant number, since it is smaller than the sum of its proper divisors (205603040).

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

125887840 is a wasteful number, since it uses less digits than its factorization.

125887840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 43.

The square root of 125887840 is about 11219.9750445355. The cubic root of 125887840 is about 501.1809949722.

It can be divided in two parts, 1258 and 87840, that added together give a palindrome (89098).

The spelling of 125887840 in words is "one hundred twenty-five million, eight hundred eighty-seven thousand, eight hundred forty".