13137440 has 48 divisors (see below), whose sum is σ = 31715712. Its totient is φ = 5140224.

The previous prime is 13137437. The next prime is 13137457. The reversal of 13137440 is 4473131.

13137440 = T₄₈₁ + T₄₈₂ + ... + T₅₇₄.

It is a nialpdrome in base 16.

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, 6647 + ... + 8393.

It is an arithmetic number, because the mean of its divisors is an integer number (660744).

Almost surely, 2^13137440 is an apocalyptic number.

13137440 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 13137440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15857856).

13137440 is an abundant number, since it is smaller than the sum of its proper divisors (18578272).

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

13137440 is a wasteful number, since it uses less digits than its factorization.

13137440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 13137440 is about 3624.5606630321. The cubic root of 13137440 is about 235.9592000713.

The spelling of 13137440 in words is "thirteen million, one hundred thirty-seven thousand, four hundred forty".