125435939040 has 336 divisors, whose sum is σ = 463638113568. Its totient is φ = 31994569728.

The previous prime is 125435939029. The next prime is 125435939059. The reversal of 125435939040 is 40939534521.

125435939040 is a `hidden beast` number, since 1 + 2 + 5 + 435 + 93 + 90 + 40 = 666.

It is a super-2 number, since 2×125435939040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2659342 + ... + 2706098.

It is an arithmetic number, because the mean of its divisors is an integer number (1379875338).

Almost surely, 2^125435939040 is an apocalyptic number.

125435939040 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 125435939040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231819056784).

125435939040 is an abundant number, since it is smaller than the sum of its proper divisors (338202174528).

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

125435939040 is an equidigital number, since it uses as much as digits as its factorization.

125435939040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46813 (or 46790 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 125435939040 in words is "one hundred twenty-five billion, four hundred thirty-five million, nine hundred thirty-nine thousand, forty".