131955075 has 144 divisors (see below), whose sum is σ = 292481280. Its totient is φ = 57697920.

The previous prime is 131955029. The next prime is 131955077. The reversal of 131955075 is 570559131.

131955075 is a `hidden beast` number, since 1 + 31 + 9 + 550 + 75 = 666.

It is not a de Polignac number, because 131955075 - 2⁶ = 131955011 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131955077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1233172 + ... + 1233278.

It is an arithmetic number, because the mean of its divisors is an integer number (2031120).

Almost surely, 2^131955075 is an apocalyptic number.

131955075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131955075 is an abundant number, since it is smaller than the sum of its proper divisors (160526205).

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

131955075 is a wasteful number, since it uses less digits than its factorization.

131955075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 23625, while the sum is 36.

The square root of 131955075 is about 11487.1700170233. The cubic root of 131955075 is about 509.1065672605.

The spelling of 131955075 in words is "one hundred thirty-one million, nine hundred fifty-five thousand, seventy-five".