131500152421344 has 144 divisors (see below), whose sum is σ = 427408539038208. Its totient is φ = 37568567183616.

The previous prime is 131500152421291. The next prime is 131500152421357. The reversal of 131500152421344 is 443124251005131.

131500152421344 is a `hidden beast` number, since 1 + 3 + 1 + 50 + 0 + 152 + 421 + 34 + 4 = 666.

131500152421344 is digitally balanced in base 3, 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 super-2 number, since 2×131500152421344² (a number of 29 digits) contains 22 as substring.

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 = 131500152421299 and 131500152421308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23626309 + ... + 28656635.

It is an arithmetic number, because the mean of its divisors is an integer number (2968114854432).

Almost surely, 2^{131500152421344} is an apocalyptic number.

131500152421344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131500152421344 is an abundant number, since it is smaller than the sum of its proper divisors (295908386616864).

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

131500152421344 is a wasteful number, since it uses less digits than its factorization.

131500152421344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5043317 (or 5043306 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 131500152421344 in words is "one hundred thirty-one trillion, five hundred billion, one hundred fifty-two million, four hundred twenty-one thousand, three hundred forty-four".