125241588 has 36 divisors (see below), whose sum is σ = 316969380. Its totient is φ = 41696256.

The previous prime is 125241583. The next prime is 125241607. The reversal of 125241588 is 885142521.

It can be written as a sum of positive squares in 2 ways, for example, as 68359824 + 56881764 = 8268^2 + 7542^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125241583) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38356 + ... + 41492.

It is an arithmetic number, because the mean of its divisors is an integer number (8804705).

Almost surely, 2^125241588 is an apocalyptic number.

125241588 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

125241588 is an abundant number, since it is smaller than the sum of its proper divisors (191727792).

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

125241588 is a wasteful number, since it uses less digits than its factorization.

125241588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4256 (or 4251 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

The square root of 125241588 is about 11191.1388160455. The cubic root of 125241588 is about 500.3219100367.

The spelling of 125241588 in words is "one hundred twenty-five million, two hundred forty-one thousand, five hundred eighty-eight".