125635890 has 64 divisors (see below), whose sum is σ = 322382592. Its totient is φ = 31257600.

The previous prime is 125635883. The next prime is 125635891. The reversal of 125635890 is 98536521.

It is not an unprimeable number, because it can be changed into a prime (125635891) 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, 26070 + ... + 30510.

It is an arithmetic number, because the mean of its divisors is an integer number (5037228).

Almost surely, 2^125635890 is an apocalyptic number.

125635890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125635890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161191296).

125635890 is an abundant number, since it is smaller than the sum of its proper divisors (196746702).

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

125635890 is a wasteful number, since it uses less digits than its factorization.

125635890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4515.

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 125635890 is about 11208.7416778156. The cubic root of 125635890 is about 500.8464196723.

The spelling of 125635890 in words is "one hundred twenty-five million, six hundred thirty-five thousand, eight hundred ninety".