131746180272 has 320 divisors, whose sum is σ = 416735232000. Its totient is φ = 35029822464.

The previous prime is 131746180249. The next prime is 131746180283. The reversal of 131746180272 is 272081647131.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120535758 + ... + 120536850.

It is an arithmetic number, because the mean of its divisors is an integer number (1302297600).

Almost surely, 2^131746180272 is an apocalyptic number.

131746180272 is a gapful number since it is divisible by the number (12) 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 131746180272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208367616000).

131746180272 is an abundant number, since it is smaller than the sum of its proper divisors (284989051728).

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

131746180272 is a wasteful number, since it uses less digits than its factorization.

131746180272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 131746180272 in words is "one hundred thirty-one billion, seven hundred forty-six million, one hundred eighty thousand, two hundred seventy-two".