16125264 has 80 divisors (see below), whose sum is σ = 46772800. Its totient is φ = 5318784.

The previous prime is 16125233. The next prime is 16125269. The reversal of 16125264 is 46252161.

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

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16125269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70302 + ... + 70530.

It is an arithmetic number, because the mean of its divisors is an integer number (584660).

Almost surely, 2^16125264 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 16125264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23386400).

16125264 is an abundant number, since it is smaller than the sum of its proper divisors (30647536).

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

16125264 is a wasteful number, since it uses less digits than its factorization.

16125264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 397 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 16125264 is about 4015.6274727619. The cubic root of 16125264 is about 252.6400960944.

It can be divided in two parts, 161 and 25264, that added together give a triangular number (25425 = T₂₂₅).

The spelling of 16125264 in words is "sixteen million, one hundred twenty-five thousand, two hundred sixty-four".