131642551040 has 576 divisors, whose sum is σ = 427234590720. Its totient is φ = 37530501120.

The previous prime is 131642551037. The next prime is 131642551057. The reversal of 131642551040 is 40155246131.

It is a super-2 number, since 2×131642551040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 131642550988 and 131642551006.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 162722156 + ... + 162722964.

It is an arithmetic number, because the mean of its divisors is an integer number (741726720).

Almost surely, 2^131642551040 is an apocalyptic number.

131642551040 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 131642551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213617295360).

131642551040 is an abundant number, since it is smaller than the sum of its proper divisors (295592039680).

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

131642551040 is a wasteful number, since it uses less digits than its factorization.

131642551040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 131642551040 its reverse (40155246131), we get a palindrome (171797797171).

The spelling of 131642551040 in words is "one hundred thirty-one billion, six hundred forty-two million, five hundred fifty-one thousand, forty".