132051435124100 has 72 divisors (see below), whose sum is σ = 297015090208200. Its totient is φ = 50898979532800.

The previous prime is 132051435124087. The next prime is 132051435124123. The reversal of 132051435124100 is 1421534150231.

It can be written as a sum of positive squares in 12 ways, for example, as 33169213969984 + 98882221154116 = 5759272^2 + 9943954^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43253741 + ... + 46205940.

It is an arithmetic number, because the mean of its divisors is an integer number (4125209586225).

Almost surely, 2^{132051435124100} is an apocalyptic number.

132051435124100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132051435124100 is an abundant number, since it is smaller than the sum of its proper divisors (164963655084100).

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

132051435124100 is a wasteful number, since it uses less digits than its factorization.

132051435124100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89460233 (or 89460226 counting only the distinct ones).

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

Adding to 132051435124100 its reverse (1421534150231), we get a palindrome (133472969274331).

The spelling of 132051435124100 in words is "one hundred thirty-two trillion, fifty-one billion, four hundred thirty-five million, one hundred twenty-four thousand, one hundred".