135120432400 has 30 divisors (see below), whose sum is σ = 324626839802. Its totient is φ = 54048172800.

The previous prime is 135120432379. The next prime is 135120432409. The reversal of 135120432400 is 4234021531.

It can be written as a sum of positive squares in 3 ways, for example, as 34413218064 + 100707214336 = 185508^2 + 317344^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (135120432409) 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, 168900141 + ... + 168900940.

Almost surely, 2^135120432400 is an apocalyptic number.

135120432400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135120432400 is an abundant number, since it is smaller than the sum of its proper divisors (189506407402).

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

135120432400 is a wasteful number, since it uses less digits than its factorization.

135120432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337801099 (or 337801088 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 135120432400 its reverse (4234021531), we get a palindrome (139354453931).

The spelling of 135120432400 in words is "one hundred thirty-five billion, one hundred twenty million, four hundred thirty-two thousand, four hundred".