131073169920 has 640 divisors, whose sum is σ = 540505405440. Its totient is φ = 26293370880.

The previous prime is 131073169907. The next prime is 131073169937. The reversal of 131073169920 is 29961370131.

It is a tau number, because it is divible by the number of its divisors (640).

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, 17145619 + ... + 17153261.

It is an arithmetic number, because the mean of its divisors is an integer number (844539696).

Almost surely, 2^131073169920 is an apocalyptic number.

131073169920 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 131073169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270252702720).

131073169920 is an abundant number, since it is smaller than the sum of its proper divisors (409432235520).

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

131073169920 is a wasteful number, since it uses less digits than its factorization.

131073169920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7716 (or 7700 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 42.

The spelling of 131073169920 in words is "one hundred thirty-one billion, seventy-three million, one hundred sixty-nine thousand, nine hundred twenty".