125016408 has 96 divisors (see below), whose sum is σ = 385482240. Its totient is φ = 36231360.

The previous prime is 125016403. The next prime is 125016443. The reversal of 125016408 is 804610521.

125016408 is a `hidden beast` number, since 1 + 250 + 1 + 6 + 408 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125016401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14785 + ... + 21647.

It is an arithmetic number, because the mean of its divisors is an integer number (4015440).

Almost surely, 2^125016408 is an apocalyptic number.

125016408 is a gapful number since it is divisible by the number (18) 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 125016408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192741120).

125016408 is an abundant number, since it is smaller than the sum of its proper divisors (260465832).

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

125016408 is a wasteful number, since it uses less digits than its factorization.

125016408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6909 (or 6902 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 125016408 is about 11181.0736514880. The cubic root of 125016408 is about 500.0218763762.

Adding to 125016408 its reverse (804610521), we get a palindrome (929626929).

The spelling of 125016408 in words is "one hundred twenty-five million, sixteen thousand, four hundred eight".