125417376 has 192 divisors, whose sum is σ = 424569600. Its totient is φ = 35278848.

The previous prime is 125417359. The next prime is 125417377. The reversal of 125417376 is 673714521.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 125417376.

It is not an unprimeable number, because it can be changed into a prime (125417377) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 538156 + ... + 538388.

It is an arithmetic number, because the mean of its divisors is an integer number (2211300).

Almost surely, 2^125417376 is an apocalyptic number.

125417376 is a gapful number since it is divisible by the number (16) 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 125417376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212284800).

125417376 is an abundant number, since it is smaller than the sum of its proper divisors (299152224).

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

125417376 is a wasteful number, since it uses less digits than its factorization.

125417376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 334 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 125417376 is about 11198.9899544557. The cubic root of 125417376 is about 500.5558830923. Note that the first 3 decimals are identical.

The spelling of 125417376 in words is "one hundred twenty-five million, four hundred seventeen thousand, three hundred seventy-six".