135245510400 has 1728 divisors, whose sum is σ = 621336231936. Its totient is φ = 24993792000.

The previous prime is 135245510377. The next prime is 135245510401. The reversal of 135245510400 is 4015542531.

135245510400 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135245510401) 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 191 ways as a sum of consecutive naturals, for example, 595795087 + ... + 595795313.

Almost surely, 2^135245510400 is an apocalyptic number.

135245510400 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 135245510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310668115968).

135245510400 is an abundant number, since it is smaller than the sum of its proper divisors (486090721536).

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

135245510400 is a wasteful number, since it uses less digits than its factorization.

135245510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 135245510400 in words is "one hundred thirty-five billion, two hundred forty-five million, five hundred ten thousand, four hundred".