131811390720 has 360 divisors, whose sum is σ = 476262923136. Its totient is φ = 34805624832.

The previous prime is 131811390707. The next prime is 131811390779. The reversal of 131811390720 is 27093118131.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10672869 + ... + 10685211.

Almost surely, 2^131811390720 is an apocalyptic number.

131811390720 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 131811390720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238131461568).

131811390720 is an abundant number, since it is smaller than the sum of its proper divisors (344451532416).

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

131811390720 is a wasteful number, since it uses less digits than its factorization.

131811390720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12479 (or 12456 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 131811390720 in words is "one hundred thirty-one billion, eight hundred eleven million, three hundred ninety thousand, seven hundred twenty".