131532154123104 has 144 divisors (see below), whose sum is σ = 427523485308192. Its totient is φ = 37576748703744.

The previous prime is 131532154123091. The next prime is 131532154123159. The reversal of 131532154123104 is 401321451235131.

131532154123104 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 3 + 2 + 1 + 541 + 2 + 3 + 104 = 666.

131532154123104 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16270032 + ... + 22973424.

It is an arithmetic number, because the mean of its divisors is an integer number (2968913092418).

Almost surely, 2^{131532154123104} is an apocalyptic number.

131532154123104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131532154123104 is an abundant number, since it is smaller than the sum of its proper divisors (295991331185088).

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

131532154123104 is a wasteful number, since it uses less digits than its factorization.

131532154123104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6713149 (or 6713138 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 131532154123104 in words is "one hundred thirty-one trillion, five hundred thirty-two billion, one hundred fifty-four million, one hundred twenty-three thousand, one hundred four".