31138020 has 144 divisors (see below), whose sum is σ = 100900800. Its totient is φ = 8055936.

The previous prime is 31138013. The next prime is 31138039. The reversal of 31138020 is 2083113.

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

It is a junction number, because it is equal to n+sod(n) for n = 31137984 and 31138002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208906 + ... + 209054.

It is an arithmetic number, because the mean of its divisors is an integer number (700700).

Almost surely, 2^31138020 is an apocalyptic number.

31138020 is a gapful number since it is divisible by the number (30) 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 31138020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50450400).

31138020 is an abundant number, since it is smaller than the sum of its proper divisors (69762780).

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

31138020 is a wasteful number, since it uses less digits than its factorization.

31138020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 31138020 is about 5580.1451594022. The cubic root of 31138020 is about 314.6035829643.

The spelling of 31138020 in words is "thirty-one million, one hundred thirty-eight thousand, twenty".