13144780 has 48 divisors (see below), whose sum is σ = 30391200. Its totient is φ = 4736000.

The previous prime is 13144777. The next prime is 13144783. The reversal of 13144780 is 8744131.

It is an interprime number because it is at equal distance from previous prime (13144777) and next prime (13144783).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13144783) 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, 32580 + ... + 32980.

It is an arithmetic number, because the mean of its divisors is an integer number (633150).

Almost surely, 2^13144780 is an apocalyptic number.

13144780 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 13144780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15195600).

13144780 is an abundant number, since it is smaller than the sum of its proper divisors (17246420).

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

13144780 is a wasteful number, since it uses less digits than its factorization.

13144780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 13144780 is about 3625.5730581523. The cubic root of 13144780 is about 236.0031360303.

It can be divided in two parts, 13144 and 780, that added together give a square (13924 = 118²).

The spelling of 13144780 in words is "thirteen million, one hundred forty-four thousand, seven hundred eighty".