125174816 has 48 divisors (see below), whose sum is σ = 266716800. Its totient is φ = 57485568.

The previous prime is 125174801. The next prime is 125174821. The reversal of 125174816 is 618471521.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98795 + ... + 100053.

It is an arithmetic number, because the mean of its divisors is an integer number (5556600).

Almost surely, 2^125174816 is an apocalyptic number.

125174816 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 125174816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133358400).

125174816 is an abundant number, since it is smaller than the sum of its proper divisors (141541984).

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

125174816 is a wasteful number, since it uses less digits than its factorization.

125174816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1513 counting only the distinct ones).

The product of its digits is 13440, while the sum is 35.

The square root of 125174816 is about 11188.1551651736. The cubic root of 125174816 is about 500.2329794243.

It can be divided in two parts, 1251 and 74816, that added together give a palindrome (76067).

The spelling of 125174816 in words is "one hundred twenty-five million, one hundred seventy-four thousand, eight hundred sixteen".