131206158720 has 1536 divisors, whose sum is σ = 590816378880. Its totient is φ = 27088846848.

The previous prime is 131206158701. The next prime is 131206158739. The reversal of 131206158720 is 27851602131.

131206158720 is a `hidden beast` number, since 1 + 3 + 12 + 0 + 61 + 587 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (131206158701) and next prime (131206158739).

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 191 ways as a sum of consecutive naturals, for example, 1033119297 + ... + 1033119423.

It is an arithmetic number, because the mean of its divisors is an integer number (384646080).

Almost surely, 2^131206158720 is an apocalyptic number.

131206158720 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 131206158720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295408189440).

131206158720 is an abundant number, since it is smaller than the sum of its proper divisors (459610220160).

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

131206158720 is a wasteful number, since it uses less digits than its factorization.

131206158720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 131206158720 in words is "one hundred thirty-one billion, two hundred six million, one hundred fifty-eight thousand, seven hundred twenty".