125902560 has 288 divisors, whose sum is σ = 474701472. Its totient is φ = 27955200.

The previous prime is 125902549. The next prime is 125902577. The reversal of 125902560 is 65209521.

It is a happy number.

It is a super-2 number, since 2×125902560² = 31702909229107200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1246510 + ... + 1246610.

It is an arithmetic number, because the mean of its divisors is an integer number (1648269).

Almost surely, 2^125902560 is an apocalyptic number.

125902560 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 125902560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237350736).

125902560 is an abundant number, since it is smaller than the sum of its proper divisors (348798912).

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

125902560 is a wasteful number, since it uses less digits than its factorization.

125902560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 125902560 is about 11220.6309982995. The cubic root of 125902560 is about 501.2005284890.

The spelling of 125902560 in words is "one hundred twenty-five million, nine hundred two thousand, five hundred sixty".