131493375 has 128 divisors (see below), whose sum is σ = 272213760. Its totient is φ = 62985600.

The previous prime is 131493361. The next prime is 131493379. The reversal of 131493375 is 573394131.

131493375 is a `hidden beast` number, since 1 + 314 + 9 + 337 + 5 = 666.

It is not a de Polignac number, because 131493375 - 2⁶ = 131493311 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131493379) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3553857 + ... + 3553893.

It is an arithmetic number, because the mean of its divisors is an integer number (2126670).

Almost surely, 2^131493375 is an apocalyptic number.

131493375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131493375 is an abundant number, since it is smaller than the sum of its proper divisors (140720385).

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

131493375 is an frugal number, since it uses more digits than its factorization.

131493375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 58 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 131493375 is about 11467.0560738142. The cubic root of 131493375 is about 508.5120993284.

The spelling of 131493375 in words is "one hundred thirty-one million, four hundred ninety-three thousand, three hundred seventy-five".