32135230141400 has 96 divisors (see below), whose sum is σ = 75323599933440. Its totient is φ = 12749341368960.

The previous prime is 32135230141379. The next prime is 32135230141447. The reversal of 32135230141400 is 414103253123.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92358557 + ... + 92705843.

It is an arithmetic number, because the mean of its divisors is an integer number (784620832640).

Almost surely, 2^{32135230141400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32135230141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37661799966720).

32135230141400 is an abundant number, since it is smaller than the sum of its proper divisors (43188369792040).

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

32135230141400 is a wasteful number, since it uses less digits than its factorization.

32135230141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351073 (or 351064 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 32135230141400 its reverse (414103253123), we get a palindrome (32549333394523).

The spelling of 32135230141400 in words is "thirty-two trillion, one hundred thirty-five billion, two hundred thirty million, one hundred forty-one thousand, four hundred".