131574049453152 has 36 divisors (see below), whose sum is σ = 374163703133220. Its totient is φ = 43858016484288.

The previous prime is 131574049453151. The next prime is 131574049453153. The reversal of 131574049453152 is 251354940475131.

131574049453152 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 74 + 0 + 494 + 5 + 31 + 52 = 666.

131574049453152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (131574049453151) and next prime (131574049453153).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×131574049453152³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131574049453151) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 228427168902 + ... + 228427169477.

It is an arithmetic number, because the mean of its divisors is an integer number (10393436198145).

Almost surely, 2^{131574049453152} is an apocalyptic number.

131574049453152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131574049453152 is an abundant number, since it is smaller than the sum of its proper divisors (242589653680068).

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

131574049453152 is a wasteful number, since it uses less digits than its factorization.

131574049453152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456854338395 (or 456854338384 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 131574049453152 in words is "one hundred thirty-one trillion, five hundred seventy-four billion, forty-nine million, four hundred fifty-three thousand, one hundred fifty-two".