135052014513400 has 192 divisors, whose sum is σ = 315455572051200. Its totient is φ = 53770535132160.

The previous prime is 135052014513281. The next prime is 135052014513407. The reversal of 135052014513400 is 4315410250531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135052014513407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83935371796 + ... + 83935373404.

It is an arithmetic number, because the mean of its divisors is an integer number (1642997771100).

Almost surely, 2^{135052014513400} is an apocalyptic number.

135052014513400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135052014513400 is an abundant number, since it is smaller than the sum of its proper divisors (180403557537800).

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

135052014513400 is a wasteful number, since it uses less digits than its factorization.

135052014513400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3878 (or 3869 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

Adding to 135052014513400 its reverse (4315410250531), we get a palindrome (139367424763931).

The spelling of 135052014513400 in words is "one hundred thirty-five trillion, fifty-two billion, fourteen million, five hundred thirteen thousand, four hundred".