135410514000 has 80 divisors (see below), whose sum is σ = 436563516480. Its totient is φ = 36109468800.

The previous prime is 135410513999. The next prime is 135410514013. The reversal of 135410514000 is 415014531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11278210 + ... + 11290209.

It is an arithmetic number, because the mean of its divisors is an integer number (5457043956).

Almost surely, 2^135410514000 is an apocalyptic number.

135410514000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135410514000 is an abundant number, since it is smaller than the sum of its proper divisors (301153002480).

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

135410514000 is a wasteful number, since it uses less digits than its factorization.

135410514000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22568445 (or 22568429 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 135410514000 its reverse (415014531), we get a palindrome (135825528531).

The spelling of 135410514000 in words is "one hundred thirty-five billion, four hundred ten million, five hundred fourteen thousand".