20137032 has 64 divisors (see below), whose sum is σ = 57024000. Its totient is φ = 6581952.

The previous prime is 20137003. The next prime is 20137043. The reversal of 20137032 is 23073102.

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

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 20136996 and 20137014.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10569 + ... + 12327.

It is an arithmetic number, because the mean of its divisors is an integer number (891000).

Almost surely, 2^20137032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20137032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28512000).

20137032 is an abundant number, since it is smaller than the sum of its proper divisors (36886968).

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

20137032 is a wasteful number, since it uses less digits than its factorization.

20137032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 20137032 is about 4487.4304451434. The cubic root of 20137032 is about 272.0602879628.

It can be divided in two parts, 2013 and 7032, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 20137032 in words is "twenty million, one hundred thirty-seven thousand, thirty-two".