125384140 has 72 divisors (see below), whose sum is σ = 309687840. Its totient is φ = 42513408.

The previous prime is 125384137. The next prime is 125384153. The reversal of 125384140 is 41483521.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 125384099 and 125384108.

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, 94401 + ... + 95719.

It is an arithmetic number, because the mean of its divisors is an integer number (4301220).

Almost surely, 2^125384140 is an apocalyptic number.

125384140 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 125384140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154843920).

125384140 is an abundant number, since it is smaller than the sum of its proper divisors (184303700).

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

125384140 is a wasteful number, since it uses less digits than its factorization.

125384140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 125384140 is about 11197.5059723137. The cubic root of 125384140 is about 500.5116628902.

The spelling of 125384140 in words is "one hundred twenty-five million, three hundred eighty-four thousand, one hundred forty".