131285623920 has 640 divisors, whose sum is σ = 512002944000. Its totient is φ = 27394375680.

The previous prime is 131285623913. The next prime is 131285623927. The reversal of 131285623920 is 29326582131.

It is an interprime number because it is at equal distance from previous prime (131285623913) and next prime (131285623927).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131285623927) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24726226 + ... + 24731534.

It is an arithmetic number, because the mean of its divisors is an integer number (800004600).

Almost surely, 2^131285623920 is an apocalyptic number.

131285623920 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 131285623920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256001472000).

131285623920 is an abundant number, since it is smaller than the sum of its proper divisors (380717320080).

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

131285623920 is a wasteful number, since it uses less digits than its factorization.

131285623920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5401 (or 5395 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 131285623920 in words is "one hundred thirty-one billion, two hundred eighty-five million, six hundred twenty-three thousand, nine hundred twenty".