131151541731840 has 2400 divisors, whose sum is σ = 549366783204096. Its totient is φ = 28895884738560.

The previous prime is 131151541731817. The next prime is 131151541731853. The reversal of 131151541731840 is 48137145151131.

It is a happy number.

131151541731840 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 51 + 5 + 417 + 3 + 184 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 189799625895 + ... + 189799626585.

Almost surely, 2^{131151541731840} is an apocalyptic number.

131151541731840 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 131151541731840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274683391602048).

131151541731840 is an abundant number, since it is smaller than the sum of its proper divisors (418215241472256).

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

131151541731840 is an frugal number, since it uses more digits than its factorization.

131151541731840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

Adding to 131151541731840 its reverse (48137145151131), we get a palindrome (179288686882971).

The spelling of 131151541731840 in words is "one hundred thirty-one trillion, one hundred fifty-one billion, five hundred forty-one million, seven hundred thirty-one thousand, eight hundred forty".