16145920 has 160 divisors (see below), whose sum is σ = 47729088. Its totient is φ = 5111808.

The previous prime is 16145893. The next prime is 16145933. The reversal of 16145920 is 2954161.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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, 304614 + ... + 304666.

Almost surely, 2^16145920 is an apocalyptic number.

16145920 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 16145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23864544).

16145920 is an abundant number, since it is smaller than the sum of its proper divisors (31583168).

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

16145920 is an equidigital number, since it uses as much as digits as its factorization.

16145920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 16145920 is about 4018.1986013636. The cubic root of 16145920 is about 252.7479249677.

The spelling of 16145920 in words is "sixteen million, one hundred forty-five thousand, nine hundred twenty".