132126541600 has 36 divisors (see below), whose sum is σ = 322553921634. Its totient is φ = 52850616320.

The previous prime is 132126541577. The next prime is 132126541661. The reversal of 132126541600 is 6145621231.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 112388539536 + 19738002064 = 335244^2 + 140492^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 82578289 + ... + 82579888.

Almost surely, 2^132126541600 is an apocalyptic number.

132126541600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132126541600 is an abundant number, since it is smaller than the sum of its proper divisors (190427380034).

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

132126541600 is a wasteful number, since it uses less digits than its factorization.

132126541600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165158197 (or 165158184 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 132126541600 in words is "one hundred thirty-two billion, one hundred twenty-six million, five hundred forty-one thousand, six hundred".