135764524315200 has 336 divisors, whose sum is σ = 495081765614016. Its totient is φ = 32291618611200.

The previous prime is 135764524315187. The next prime is 135764524315241. The reversal of 135764524315200 is 2513425467531.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 135764524315200.

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 47 ways as a sum of consecutive naturals, for example, 21459127 + ... + 27055926.

It is an arithmetic number, because the mean of its divisors is an integer number (1473457635756).

Almost surely, 2^{135764524315200} is an apocalyptic number.

135764524315200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135764524315200 is an abundant number, since it is smaller than the sum of its proper divisors (359317241298816).

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

135764524315200 is a wasteful number, since it uses less digits than its factorization.

135764524315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48515142 (or 48515127 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 48.

The spelling of 135764524315200 in words is "one hundred thirty-five trillion, seven hundred sixty-four billion, five hundred twenty-four million, three hundred fifteen thousand, two hundred".