13142640 has 80 divisors (see below), whose sum is σ = 46568448. Its totient is φ = 3003648.

The previous prime is 13142639. The next prime is 13142641. The reversal of 13142640 is 4624131.

It is an interprime number because it is at equal distance from previous prime (13142639) and next prime (13142641).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13142641) 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, 2232 + ... + 5591.

Almost surely, 2^13142640 is an apocalyptic number.

13142640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13142640 is an abundant number, since it is smaller than the sum of its proper divisors (33425808).

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

13142640 is a wasteful number, since it uses less digits than its factorization.

13142640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7846 (or 7840 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 13142640 is about 3625.2779203807. The cubic root of 13142640 is about 235.9903280533.

Adding to 13142640 its reverse (4624131), we get a palindrome (17766771).

The spelling of 13142640 in words is "thirteen million, one hundred forty-two thousand, six hundred forty".