131950728 has 256 divisors, whose sum is σ = 463680000. Its totient is φ = 34546176.

The previous prime is 131950723. The next prime is 131950729. The reversal of 131950728 is 827059131.

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

It is a junction number, because it is equal to n+sod(n) for n = 131950692 and 131950701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131950723) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 963076 + ... + 963212.

It is an arithmetic number, because the mean of its divisors is an integer number (1811250).

Almost surely, 2^131950728 is an apocalyptic number.

131950728 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 131950728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231840000).

131950728 is an abundant number, since it is smaller than the sum of its proper divisors (331729272).

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

131950728 is a wasteful number, since it uses less digits than its factorization.

131950728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 131950728 is about 11486.9808043715. The cubic root of 131950728 is about 509.1009766948.

The spelling of 131950728 in words is "one hundred thirty-one million, nine hundred fifty thousand, seven hundred twenty-eight".