125829840 has 160 divisors (see below), whose sum is σ = 409795200. Its totient is φ = 31897600.

The previous prime is 125829839. The next prime is 125829841. The reversal of 125829840 is 48928521.

It is an interprime number because it is at equal distance from previous prime (125829839) and next prime (125829841).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125829841) 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, 702871 + ... + 703049.

It is an arithmetic number, because the mean of its divisors is an integer number (2561220).

Almost surely, 2^125829840 is an apocalyptic number.

125829840 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 125829840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204897600).

125829840 is an abundant number, since it is smaller than the sum of its proper divisors (283965360).

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

125829840 is a wasteful number, since it uses less digits than its factorization.

125829840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 125829840 is about 11217.3900707785. The cubic root of 125829840 is about 501.1040138460.

It can be divided in two parts, 12582 and 9840, that added together give a palindrome (22422).

The spelling of 125829840 in words is "one hundred twenty-five million, eight hundred twenty-nine thousand, eight hundred forty".