131138928 has 120 divisors (see below), whose sum is σ = 392296320. Its totient is φ = 40803840.

The previous prime is 131138857. The next prime is 131138929. The reversal of 131138928 is 829831131.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 131138892 and 131138901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131138929) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128950 + ... + 129962.

It is an arithmetic number, because the mean of its divisors is an integer number (3269136).

Almost surely, 2^131138928 is an apocalyptic number.

131138928 is a gapful number since it is divisible by the number (18) 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 131138928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196148160).

131138928 is an abundant number, since it is smaller than the sum of its proper divisors (261157392).

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

131138928 is a wasteful number, since it uses less digits than its factorization.

131138928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1078 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 131138928 is about 11451.5906318729. The cubic root of 131138928 is about 508.0547815352.

The spelling of 131138928 in words is "one hundred thirty-one million, one hundred thirty-eight thousand, nine hundred twenty-eight".