135340532400 has 60 divisors (see below), whose sum is σ = 433540842632. Its totient is φ = 36090808320.

The previous prime is 135340532389. The next prime is 135340532407. The reversal of 135340532400 is 4235043531.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (135340532407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56390689 + ... + 56393088.

Almost surely, 2^135340532400 is an apocalyptic number.

135340532400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135340532400 is an abundant number, since it is smaller than the sum of its proper divisors (298200310232).

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

135340532400 is a wasteful number, since it uses less digits than its factorization.

135340532400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112783798 (or 112783787 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 135340532400 its reverse (4235043531), we get a palindrome (139575575931).

The spelling of 135340532400 in words is "one hundred thirty-five billion, three hundred forty million, five hundred thirty-two thousand, four hundred".