131755919742720 has 6804 divisors, whose sum is σ = 643884371204760. Its totient is φ = 25720358436864.

The previous prime is 131755919742697. The next prime is 131755919742749. The reversal of 131755919742720 is 27247919557131.

131755919742720 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 559 + 1 + 9 + 7 + 4 + 2 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6804).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 755 ways as a sum of consecutive naturals, for example, 2233151182051 + ... + 2233151182109.

Almost surely, 2^{131755919742720} is an apocalyptic number.

131755919742720 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 131755919742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321942185602380).

131755919742720 is an abundant number, since it is smaller than the sum of its proper divisors (512128451462040).

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

131755919742720 is an equidigital number, since it uses as much as digits as its factorization.

131755919742720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 33339600, while the sum is 63.

The spelling of 131755919742720 in words is "one hundred thirty-one trillion, seven hundred fifty-five billion, nine hundred nineteen million, seven hundred forty-two thousand, seven hundred twenty".