12137400 has 144 divisors (see below), whose sum is σ = 44539560. Its totient is φ = 2937600.

The previous prime is 12137387. The next prime is 12137401. The reversal of 12137400 is 473121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12137401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19494 + ... + 20106.

Almost surely, 2^12137400 is an apocalyptic number.

12137400 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 12137400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22269780).

12137400 is an abundant number, since it is smaller than the sum of its proper divisors (32402160).

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

12137400 is a wasteful number, since it uses less digits than its factorization.

12137400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 12137400 is about 3483.8771505321. The cubic root of 12137400 is about 229.8133331051.

The spelling of 12137400 in words is "twelve million, one hundred thirty-seven thousand, four hundred".