125205696 has 224 divisors, whose sum is σ = 459394560. Its totient is φ = 32486400.

The previous prime is 125205659. The next prime is 125205713. The reversal of 125205696 is 696502521.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a self number, because there is not a number n which added to its sum of digits gives 125205696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132586 + ... + 133526.

Almost surely, 2^125205696 is an apocalyptic number.

125205696 is a gapful number since it is divisible by the number (16) 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 125205696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229697280).

125205696 is an abundant number, since it is smaller than the sum of its proper divisors (334188864).

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

125205696 is a wasteful number, since it uses less digits than its factorization.

125205696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 125205696 is about 11189.5351109865. The cubic root of 125205696 is about 500.2741110322.

The spelling of 125205696 in words is "one hundred twenty-five million, two hundred five thousand, six hundred ninety-six".