131385379840 has 352 divisors, whose sum is σ = 373223450880. Its totient is φ = 43750195200.

The previous prime is 131385379817. The next prime is 131385379841. The reversal of 131385379840 is 48973583131.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (131385379841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101769595 + ... + 101770885.

Almost surely, 2^131385379840 is an apocalyptic number.

131385379840 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 131385379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186611725440).

131385379840 is an abundant number, since it is smaller than the sum of its proper divisors (241838071040).

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

131385379840 is a wasteful number, since it uses less digits than its factorization.

131385379840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

It can be divided in two parts, 131385 and 379840, that added together give a square (511225 = 715²).

The spelling of 131385379840 in words is "one hundred thirty-one billion, three hundred eighty-five million, three hundred seventy-nine thousand, eight hundred forty".