13957136 has 60 divisors (see below), whose sum is σ = 30240252. Its totient is φ = 6217728.

The previous prime is 13957117. The next prime is 13957171. The reversal of 13957136 is 63175931.

It can be written as a sum of positive squares in 2 ways, for example, as 8667136 + 5290000 = 2944^2 + 2300^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13957096 and 13957105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143840 + ... + 143936.

Almost surely, 2^13957136 is an apocalyptic number.

13957136 is a gapful number since it is divisible by the number (16) 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 13957136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15120126).

13957136 is an abundant number, since it is smaller than the sum of its proper divisors (16283116).

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

13957136 is a wasteful number, since it uses less digits than its factorization.

13957136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 139 counting only the distinct ones).

The product of its digits is 17010, while the sum is 35.

The square root of 13957136 is about 3735.9250527814. The cubic root of 13957136 is about 240.7680027241.

It can be divided in two parts, 1395713 and 6, that multiplied together give a triangular number (8374278 = T₄₀₉₂).

The spelling of 13957136 in words is "thirteen million, nine hundred fifty-seven thousand, one hundred thirty-six".