131752001376 has 288 divisors, whose sum is σ = 406998079488. Its totient is φ = 40267100160.

The previous prime is 131752001363. The next prime is 131752001389. The reversal of 131752001376 is 673100257131.

131752001376 is a `hidden beast` number, since 1 + 317 + 5 + 200 + 137 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (131752001363) and next prime (131752001389).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 131752001376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127789981 + ... + 127791011.

It is an arithmetic number, because the mean of its divisors is an integer number (1413187776).

Almost surely, 2^131752001376 is an apocalyptic number.

131752001376 is a gapful number since it is divisible by the number (16) 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 131752001376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203499039744).

131752001376 is an abundant number, since it is smaller than the sum of its proper divisors (275246078112).

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

131752001376 is a wasteful number, since it uses less digits than its factorization.

131752001376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 131752001376 in words is "one hundred thirty-one billion, seven hundred fifty-two million, one thousand, three hundred seventy-six".