131504220 has 144 divisors (see below), whose sum is σ = 414977472. Its totient is φ = 33684480.

The previous prime is 131504189. The next prime is 131504221. The reversal of 131504220 is 22405131.

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 = 131504193 and 131504202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131504221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 760054 + ... + 760226.

It is an arithmetic number, because the mean of its divisors is an integer number (2881788).

Almost surely, 2^131504220 is an apocalyptic number.

131504220 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 131504220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207488736).

131504220 is an abundant number, since it is smaller than the sum of its proper divisors (283473252).

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

131504220 is a wasteful number, since it uses less digits than its factorization.

131504220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 131504220 is about 11467.5289404475. The cubic root of 131504220 is about 508.5260788973.

Adding to 131504220 its reverse (22405131), we get a palindrome (153909351).

The spelling of 131504220 in words is "one hundred thirty-one million, five hundred four thousand, two hundred twenty".