125629440 has 88 divisors (see below), whose sum is σ = 401867040. Its totient is φ = 33497088.

The previous prime is 125629429. The next prime is 125629447. The reversal of 125629440 is 44926521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125629447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11271 + ... + 19449.

Almost surely, 2^125629440 is an apocalyptic number.

125629440 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 125629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200933520).

125629440 is an abundant number, since it is smaller than the sum of its proper divisors (276237600).

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

125629440 is an equidigital number, since it uses as much as digits as its factorization.

125629440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8207 (or 8189 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 125629440 is about 11208.4539522630. The cubic root of 125629440 is about 500.8378485687.

The spelling of 125629440 in words is "one hundred twenty-five million, six hundred twenty-nine thousand, four hundred forty".