131257140672 has 224 divisors, whose sum is σ = 417436913664. Its totient is φ = 35606937600.

The previous prime is 131257140661. The next prime is 131257140683. The reversal of 131257140672 is 276041752131.

It is an interprime number because it is at equal distance from previous prime (131257140661) and next prime (131257140683).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×131257140672³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 131257140672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2178472 + ... + 2237912.

Almost surely, 2^131257140672 is an apocalyptic number.

131257140672 is a gapful number since it is divisible by the number (12) 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 131257140672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208718456832).

131257140672 is an abundant number, since it is smaller than the sum of its proper divisors (286179772992).

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

131257140672 is a wasteful number, since it uses less digits than its factorization.

131257140672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59547 (or 59537 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 131257140672 in words is "one hundred thirty-one billion, two hundred fifty-seven million, one hundred forty thousand, six hundred seventy-two".