131219460372 has 192 divisors, whose sum is σ = 432730368000. Its totient is φ = 29805304320.

The previous prime is 131219460343. The next prime is 131219460377. The reversal of 131219460372 is 273064912131.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 131219460372.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131219460377) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59247 + ... + 515702.

It is an arithmetic number, because the mean of its divisors is an integer number (2253804000).

Almost surely, 2^131219460372 is an apocalyptic number.

131219460372 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 131219460372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216365184000).

131219460372 is an abundant number, since it is smaller than the sum of its proper divisors (301510907628).

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

131219460372 is a wasteful number, since it uses less digits than its factorization.

131219460372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575006 (or 575004 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 131219460372 in words is "one hundred thirty-one billion, two hundred nineteen million, four hundred sixty thousand, three hundred seventy-two".