131503775440 has 40 divisors (see below), whose sum is σ = 305764358400. Its totient is φ = 52598399616.

The previous prime is 131503775411. The next prime is 131503775449. The reversal of 131503775440 is 44577305131.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 131503775393 and 131503775402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131503775449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1706217 + ... + 1781623.

It is an arithmetic number, because the mean of its divisors is an integer number (7644108960).

Almost surely, 2^131503775440 is an apocalyptic number.

131503775440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131503775440 is an abundant number, since it is smaller than the sum of its proper divisors (174260582960).

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

131503775440 is a wasteful number, since it uses less digits than its factorization.

131503775440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97219 (or 97213 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 40.

The spelling of 131503775440 in words is "one hundred thirty-one billion, five hundred three million, seven hundred seventy-five thousand, four hundred forty".