125318016 has 224 divisors, whose sum is σ = 401349600. Its totient is φ = 38817792.

The previous prime is 125317993. The next prime is 125318029. The reversal of 125318016 is 610813521.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1586265 + ... + 1586343.

Almost surely, 2^125318016 is an apocalyptic number.

125318016 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 125318016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200674800).

125318016 is an abundant number, since it is smaller than the sum of its proper divisors (276031584).

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

125318016 is an frugal number, since it uses more digits than its factorization.

125318016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 125318016 is about 11194.5529611503. The cubic root of 125318016 is about 500.4236622525.

The spelling of 125318016 in words is "one hundred twenty-five million, three hundred eighteen thousand, sixteen".