125678140 has 72 divisors (see below), whose sum is σ = 308826000. Its totient is φ = 42835968.

The previous prime is 125678107. The next prime is 125678209. The reversal of 125678140 is 41876521.

125678140 = 2⁴ + 3⁴ + ... + 57⁴.

It is a junction number, because it is equal to n+sod(n) for n = 125678096 and 125678105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251611 + ... + 252109.

It is an arithmetic number, because the mean of its divisors is an integer number (4289250).

Almost surely, 2^125678140 is an apocalyptic number.

125678140 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 125678140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154413000).

125678140 is an abundant number, since it is smaller than the sum of its proper divisors (183147860).

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

125678140 is a wasteful number, since it uses less digits than its factorization.

125678140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 125678140 is about 11210.6262090929. The cubic root of 125678140 is about 500.9025564700.

The spelling of 125678140 in words is "one hundred twenty-five million, six hundred seventy-eight thousand, one hundred forty".