125965440 has 192 divisors, whose sum is σ = 458265600. Its totient is φ = 31795200.

The previous prime is 125965439. The next prime is 125965451. The reversal of 125965440 is 44569521.

125965440 is a `hidden beast` number, since 1 + 25 + 96 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 125965395 and 125965404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108865 + ... + 110015.

It is an arithmetic number, because the mean of its divisors is an integer number (2386800).

Almost surely, 2^125965440 is an apocalyptic number.

125965440 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 125965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229132800).

125965440 is an abundant number, since it is smaller than the sum of its proper divisors (332300160).

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

125965440 is a wasteful number, since it uses less digits than its factorization.

125965440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 125965440 is about 11223.4326299934. The cubic root of 125965440 is about 501.2839534383.

The spelling of 125965440 in words is "one hundred twenty-five million, nine hundred sixty-five thousand, four hundred forty".