135532032400 has 120 divisors (see below), whose sum is σ = 327371500008. Its totient is φ = 53921280000.

The previous prime is 135532032367. The next prime is 135532032401. The reversal of 135532032400 is 4230235531.

It can be written as a sum of positive squares in 12 ways, for example, as 3306710016 + 132225322384 = 57504^2 + 363628^2 .

It is not an unprimeable number, because it can be changed into a prime (135532032401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114759810 + ... + 114760990.

Almost surely, 2^135532032400 is an apocalyptic number.

135532032400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135532032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163685750004).

135532032400 is an abundant number, since it is smaller than the sum of its proper divisors (191839467608).

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

135532032400 is a wasteful number, since it uses less digits than its factorization.

135532032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2501 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

Adding to 135532032400 its reverse (4230235531), we get a palindrome (139762267931).

The spelling of 135532032400 in words is "one hundred thirty-five billion, five hundred thirty-two million, thirty-two thousand, four hundred".