13142496 has 48 divisors (see below), whose sum is σ = 36532944. Its totient is φ = 4122624.

The previous prime is 13142473. The next prime is 13142537. The reversal of 13142496 is 69424131.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×13142496² = 345450402220032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2395 + ... + 5658.

It is an arithmetic number, because the mean of its divisors is an integer number (761103).

Almost surely, 2^13142496 is an apocalyptic number.

13142496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13142496 is an abundant number, since it is smaller than the sum of its proper divisors (23390448).

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

13142496 is a wasteful number, since it uses less digits than its factorization.

13142496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8083 (or 8075 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 13142496 is about 3625.2580597800. The cubic root of 13142496 is about 235.9894661582.

It can be divided in two parts, 131424 and 96, that multiplied together give a square (12616704 = 3552²).

The spelling of 13142496 in words is "thirteen million, one hundred forty-two thousand, four hundred ninety-six".