131604275072 has 64 divisors (see below), whose sum is σ = 265049256240. Its totient is φ = 65084067840.

The previous prime is 131604275057. The next prime is 131604275119. The reversal of 131604275072 is 270572406131.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9045788 + ... + 9060324.

Almost surely, 2^131604275072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131604275072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132524628120).

131604275072 is an abundant number, since it is smaller than the sum of its proper divisors (133444981168).

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

131604275072 is a wasteful number, since it uses less digits than its factorization.

131604275072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15319 (or 15307 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The spelling of 131604275072 in words is "one hundred thirty-one billion, six hundred four million, two hundred seventy-five thousand, seventy-two".