32142130343505 has 144 divisors (see below), whose sum is σ = 70296466443840. Its totient is φ = 13465693414656.

The previous prime is 32142130343431. The next prime is 32142130343507. The reversal of 32142130343505 is 50534303124123.

32142130343505 is a `hidden beast` number, since 3 + 2 + 1 + 4 + 213 + 0 + 3 + 435 + 0 + 5 = 666.

It is not a de Polignac number, because 32142130343505 - 2¹⁰ = 32142130342481 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 32142130343505.

It is not an unprimeable number, because it can be changed into a prime (32142130343507) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49027 + ... + 8017896.

It is an arithmetic number, because the mean of its divisors is an integer number (488169905860).

Almost surely, 2^{32142130343505} is an apocalyptic number.

32142130343505 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

32142130343505 is an abundant number, since it is smaller than the sum of its proper divisors (38154336100335).

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

32142130343505 is a wasteful number, since it uses less digits than its factorization.

32142130343505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8067100 (or 8067090 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 32142130343505 its reverse (50534303124123), we get a palindrome (82676433467628).

The spelling of 32142130343505 in words is "thirty-two trillion, one hundred forty-two billion, one hundred thirty million, three hundred forty-three thousand, five hundred five".