131958120 has 128 divisors (see below), whose sum is σ = 468115200. Its totient is φ = 29116416.

The previous prime is 131958119. The next prime is 131958133. The reversal of 131958120 is 21859131.

It is a super-3 number, since 3×131958120³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21652 + ... + 27068.

It is an arithmetic number, because the mean of its divisors is an integer number (3657150).

Almost surely, 2^131958120 is an apocalyptic number.

131958120 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 131958120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234057600).

131958120 is an abundant number, since it is smaller than the sum of its proper divisors (336157080).

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

131958120 is a wasteful number, since it uses less digits than its factorization.

131958120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5467 (or 5463 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 131958120 is about 11487.3025554305. The cubic root of 131958120 is about 509.1104832842.

The spelling of 131958120 in words is "one hundred thirty-one million, nine hundred fifty-eight thousand, one hundred twenty".