125167016 has 64 divisors (see below), whose sum is σ = 267321600. Its totient is φ = 54528768.

The previous prime is 125167013. The next prime is 125167027. The reversal of 125167016 is 610761521.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 125167016.

It is not an unprimeable number, because it can be changed into a prime (125167013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141311 + ... + 142193.

It is an arithmetic number, because the mean of its divisors is an integer number (4176900).

Almost surely, 2^125167016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125167016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133660800).

125167016 is an abundant number, since it is smaller than the sum of its proper divisors (142154584).

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

125167016 is a wasteful number, since it uses less digits than its factorization.

125167016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 125167016 is about 11187.8065768049. The cubic root of 125167016 is about 500.2225888937. Note that the first 3 decimals are identical.

The spelling of 125167016 in words is "one hundred twenty-five million, one hundred sixty-seven thousand, sixteen".