13137000 has 128 divisors (see below), whose sum is σ = 42681600. Its totient is φ = 3360000.

The previous prime is 13136957. The next prime is 13137011. The reversal of 13137000 is 73131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86925 + ... + 87075.

It is an arithmetic number, because the mean of its divisors is an integer number (333450).

Almost surely, 2^13137000 is an apocalyptic number.

13137000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 3624×3625.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13137000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21340800).

13137000 is an abundant number, since it is smaller than the sum of its proper divisors (29544600).

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

13137000 is a wasteful number, since it uses less digits than its factorization.

13137000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 15.

The square root of 13137000 is about 3624.4999655125. The cubic root of 13137000 is about 235.9565657882.

The spelling of 13137000 in words is "thirteen million, one hundred thirty-seven thousand".