13142520 has 128 divisors (see below), whose sum is σ = 44985600. Its totient is φ = 3411072.

The previous prime is 13142473. The next prime is 13142537. The reversal of 13142520 is 2524131.

13142520 is a `hidden beast` number, since 1 + 3 + 142 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13142493 and 13142502.

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 31 ways as a sum of consecutive naturals, for example, 46299 + ... + 46581.

It is an arithmetic number, because the mean of its divisors is an integer number (351450).

Almost surely, 2^13142520 is an apocalyptic number.

13142520 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 13142520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22492800).

13142520 is an abundant number, since it is smaller than the sum of its proper divisors (31843080).

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

13142520 is a wasteful number, since it uses less digits than its factorization.

13142520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 13142520 is about 3625.2613698877. The cubic root of 13142520 is about 235.9896098078.

Adding to 13142520 its reverse (2524131), we get a palindrome (15666651).

The spelling of 13142520 in words is "thirteen million, one hundred forty-two thousand, five hundred twenty".