131772137440 has 96 divisors (see below), whose sum is σ = 324498502944. Its totient is φ = 50518702080.

The previous prime is 131772137377. The next prime is 131772137513. The reversal of 131772137440 is 44731277131.

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 = 131772137393 and 131772137402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230530 + ... + 562750.

It is an arithmetic number, because the mean of its divisors is an integer number (3380192739).

Almost surely, 2^131772137440 is an apocalyptic number.

131772137440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131772137440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162249251472).

131772137440 is an abundant number, since it is smaller than the sum of its proper divisors (192726365504).

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

131772137440 is a wasteful number, since it uses less digits than its factorization.

131772137440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332340 (or 332332 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 40.

The spelling of 131772137440 in words is "one hundred thirty-one billion, seven hundred seventy-two million, one hundred thirty-seven thousand, four hundred forty".