135414140400 has 720 divisors, whose sum is σ = 588601398528. Its totient is φ = 28007424000.

The previous prime is 135414140371. The next prime is 135414140419. The reversal of 135414140400 is 4041414531.

135414140400 is a `hidden beast` number, since 1 + 3 + 541 + 41 + 40 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 66804187 + ... + 66806213.

Almost surely, 2^135414140400 is an apocalyptic number.

135414140400 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 135414140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294300699264).

135414140400 is an abundant number, since it is smaller than the sum of its proper divisors (453187258128).

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

135414140400 is a wasteful number, since it uses less digits than its factorization.

135414140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 135414140400 its reverse (4041414531), we get a palindrome (139455554931).

The spelling of 135414140400 in words is "one hundred thirty-five billion, four hundred fourteen million, one hundred forty thousand, four hundred".