132214511201625 has 96 divisors (see below), whose sum is σ = 240259573547136. Its totient is φ = 69946553040000.

The previous prime is 132214511201557. The next prime is 132214511201639. The reversal of 132214511201625 is 526102115412231.

132214511201625 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 1 + 4 + 5 + 1 + 1 + 20 + 1 + 625 = 666.

It is not a de Polignac number, because 132214511201625 - 2¹⁴ = 132214511185241 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 132214511201625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 350711482 + ... + 351088268.

It is an arithmetic number, because the mean of its divisors is an integer number (2502703891116).

Almost surely, 2^{132214511201625} is an apocalyptic number.

132214511201625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132214511201625 is a deficient number, since it is larger than the sum of its proper divisors (108045062345511).

132214511201625 is a wasteful number, since it uses less digits than its factorization.

132214511201625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379320 (or 379307 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 132214511201625 its reverse (526102115412231), we get a palindrome (658316626613856).

The spelling of 132214511201625 in words is "one hundred thirty-two trillion, two hundred fourteen billion, five hundred eleven million, two hundred one thousand, six hundred twenty-five".