15146820 has 72 divisors (see below), whose sum is σ = 49487256. Its totient is φ = 3727872.

The previous prime is 15146797. The next prime is 15146837. The reversal of 15146820 is 2864151.

It can be written as a sum of positive squares in 4 ways, for example, as 30276 + 15116544 = 174^2 + 3888^2 .

It is a super-4 number, since 4×15146820⁴ (a number of 30 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 897 + ... + 5576.

It is an arithmetic number, because the mean of its divisors is an integer number (687323).

Almost surely, 2^15146820 is an apocalyptic number.

15146820 is a gapful number since it is divisible by the number (10) 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 15146820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24743628).

15146820 is an abundant number, since it is smaller than the sum of its proper divisors (34340436).

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

15146820 is a wasteful number, since it uses less digits than its factorization.

15146820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6501 (or 6496 counting only the distinct ones).

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

The square root of 15146820 is about 3891.8915709459. The cubic root of 15146820 is about 247.4232391278.

It can be divided in two parts, 151 and 46820, that added together give a triangular number (46971 = T₃₀₆).

The spelling of 15146820 in words is "fifteen million, one hundred forty-six thousand, eight hundred twenty".