13137700 has 36 divisors (see below), whose sum is σ = 28887040. Its totient is φ = 5185440.

The previous prime is 13137689. The next prime is 13137727. The reversal of 13137700 is 773131.

It is a super-2 number, since 2×13137700² = 345198322580000, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 7069 + ... + 8731.

Almost surely, 2^13137700 is an apocalyptic number.

13137700 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 13137700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14443520).

13137700 is an abundant number, since it is smaller than the sum of its proper divisors (15749340).

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

13137700 is a wasteful number, since it uses less digits than its factorization.

13137700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 441, while the sum is 22.

The square root of 13137700 is about 3624.5965292705. The cubic root of 13137700 is about 235.9607566654.

The spelling of 13137700 in words is "thirteen million, one hundred thirty-seven thousand, seven hundred".