132514043242400 has 36 divisors (see below), whose sum is σ = 323499908067462. Its totient is φ = 53005617296640.

The previous prime is 132514043242313. The next prime is 132514043242409. The reversal of 132514043242400 is 4242340415231.

It can be written as a sum of positive squares in 3 ways, for example, as 106238454297616 + 26275588944784 = 10307204^2 + 5125972^2 .

It is not an unprimeable number, because it can be changed into a prime (132514043242409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 82821276227 + ... + 82821277826.

Almost surely, 2^{132514043242400} is an apocalyptic number.

132514043242400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132514043242400 is an abundant number, since it is smaller than the sum of its proper divisors (190985864825062).

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

132514043242400 is a wasteful number, since it uses less digits than its factorization.

132514043242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165642554073 (or 165642554060 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 132514043242400 its reverse (4242340415231), we get a palindrome (136756383657631).

The spelling of 132514043242400 in words is "one hundred thirty-two trillion, five hundred fourteen billion, forty-three million, two hundred forty-two thousand, four hundred".