125763408 has 80 divisors (see below), whose sum is σ = 365155200. Its totient is φ = 41437440.

The previous prime is 125763389. The next prime is 125763409. The reversal of 125763408 is 804367521.

125763408 is a `hidden beast` number, since 12 + 5 + 7 + 634 + 0 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125763409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36813 + ... + 40083.

It is an arithmetic number, because the mean of its divisors is an integer number (4564440).

Almost surely, 2^125763408 is an apocalyptic number.

125763408 is a gapful number since it is divisible by the number (18) 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 125763408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182577600).

125763408 is an abundant number, since it is smaller than the sum of its proper divisors (239391792).

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

125763408 is a wasteful number, since it uses less digits than its factorization.

125763408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3377 (or 3365 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 125763408 is about 11214.4285632394. The cubic root of 125763408 is about 501.0158121869.

The spelling of 125763408 in words is "one hundred twenty-five million, seven hundred sixty-three thousand, four hundred eight".