135561230400 has 336 divisors, whose sum is σ = 472829290560. Its totient is φ = 33905664000.

The previous prime is 135561230383. The next prime is 135561230503. The reversal of 135561230400 is 4032165531.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9203842 + ... + 9218558.

Almost surely, 2^135561230400 is an apocalyptic number.

135561230400 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 135561230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236414645280).

135561230400 is an abundant number, since it is smaller than the sum of its proper divisors (337268060160).

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

135561230400 is a wasteful number, since it uses less digits than its factorization.

135561230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14862 (or 14847 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 135561230400 its reverse (4032165531), we get a palindrome (139593395931).

The spelling of 135561230400 in words is "one hundred thirty-five billion, five hundred sixty-one million, two hundred thirty thousand, four hundred".