132214535102336 has 64 divisors (see below), whose sum is σ = 264980899169280. Its totient is φ = 65709547642368.

The previous prime is 132214535102329. The next prime is 132214535102339. The reversal of 132214535102336 is 633201535412231.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 132214535102293 and 132214535102302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132214535102339) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1039301645 + ... + 1039428851.

It is an arithmetic number, because the mean of its divisors is an integer number (4140326549520).

Almost surely, 2^{132214535102336} is an apocalyptic number.

132214535102336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132214535102336 is an abundant number, since it is smaller than the sum of its proper divisors (132766364066944).

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

132214535102336 is a wasteful number, since it uses less digits than its factorization.

132214535102336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176011 (or 175999 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 41.

The spelling of 132214535102336 in words is "one hundred thirty-two trillion, two hundred fourteen billion, five hundred thirty-five million, one hundred two thousand, three hundred thirty-six".