13772140 has 36 divisors (see below), whose sum is σ = 29783376. Its totient is φ = 5349312.

The previous prime is 13772123. The next prime is 13772167. The reversal of 13772140 is 4127731.

It is a happy number.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 27129 + ... + 27631.

It is an arithmetic number, because the mean of its divisors is an integer number (827316).

Almost surely, 2^13772140 is an apocalyptic number.

13772140 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 13772140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14891688).

13772140 is an abundant number, since it is smaller than the sum of its proper divisors (16011236).

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

13772140 is a wasteful number, since it uses less digits than its factorization.

13772140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 13772140 is about 3711.0833997635. The cubic root of 13772140 is about 239.6995081857.

Adding to 13772140 its reverse (4127731), we get a palindrome (17899871).

The spelling of 13772140 in words is "thirteen million, seven hundred seventy-two thousand, one hundred forty".