125699040 has 288 divisors, whose sum is σ = 460658016. Its totient is φ = 32348160.

The previous prime is 125699023. The next prime is 125699069. The reversal of 125699040 is 40996521.

125699040 is a `hidden beast` number, since 1 + 2 + 569 + 90 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 125698986 and 125699004.

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, 2060610 + ... + 2060670.

It is an arithmetic number, because the mean of its divisors is an integer number (1599507).

Almost surely, 2^125699040 is an apocalyptic number.

125699040 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 125699040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230329008).

125699040 is an abundant number, since it is smaller than the sum of its proper divisors (334958976).

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

125699040 is an equidigital number, since it uses as much as digits as its factorization.

125699040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 125699040 is about 11211.5583216607. The cubic root of 125699040 is about 500.9303212644.

It can be divided in two parts, 12569 and 9040, that added together give a square (21609 = 147²).

The spelling of 125699040 in words is "one hundred twenty-five million, six hundred ninety-nine thousand, forty".