131846787072 has 1040 divisors, whose sum is σ = 530157167232. Its totient is φ = 31531991040.

The previous prime is 131846787067. The next prime is 131846787089. The reversal of 131846787072 is 270787648131.

131846787072 is a `hidden beast` number, since 1 + 31 + 8 + 467 + 87 + 0 + 72 = 666.

It is a super-2 number, since 2×131846787072² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 332107578 + ... + 332107974.

Almost surely, 2^131846787072 is an apocalyptic number.

131846787072 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 131846787072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265078583616).

131846787072 is an abundant number, since it is smaller than the sum of its proper divisors (398310380160).

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

131846787072 is a wasteful number, since it uses less digits than its factorization.

131846787072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 131846787072 in words is "one hundred thirty-one billion, eight hundred forty-six million, seven hundred eighty-seven thousand, seventy-two".