125512640 has 112 divisors (see below), whose sum is σ = 329513184. Its totient is φ = 45158400.

The previous prime is 125512637. The next prime is 125512661. The reversal of 125512640 is 46215521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 637022 + ... + 637218.

It is an arithmetic number, because the mean of its divisors is an integer number (2942082).

Almost surely, 2^125512640 is an apocalyptic number.

125512640 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 125512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164756592).

125512640 is an abundant number, since it is smaller than the sum of its proper divisors (204000544).

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

125512640 is a wasteful number, since it uses less digits than its factorization.

125512640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 125512640 is about 11203.2423878090. The cubic root of 125512640 is about 500.6825877240.

The spelling of 125512640 in words is "one hundred twenty-five million, five hundred twelve thousand, six hundred forty".