125867520 has 200 divisors, whose sum is σ = 451560384. Its totient is φ = 33509376.

The previous prime is 125867519. The next prime is 125867531. The reversal of 125867520 is 25768521.

It is a happy number.

125867520 is a `hidden beast` number, since 1 + 2 + 586 + 75 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 207057 + ... + 207663.

Almost surely, 2^125867520 is an apocalyptic number.

125867520 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 125867520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225780192).

125867520 is an abundant number, since it is smaller than the sum of its proper divisors (325692864).

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

125867520 is an frugal number, since it uses more digits than its factorization.

125867520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 125867520 is about 11219.0694801307. The cubic root of 125867520 is about 501.1540277241.

The spelling of 125867520 in words is "one hundred twenty-five million, eight hundred sixty-seven thousand, five hundred twenty".