135313150230400 has 192 divisors, whose sum is σ = 360826620127200. Its totient is φ = 49986746163200.

The previous prime is 135313150230361. The next prime is 135313150230431. The reversal of 135313150230400 is 4032051313531.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 29563771 + ... + 33832570.

Almost surely, 2^{135313150230400} is an apocalyptic number.

135313150230400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135313150230400 is an abundant number, since it is smaller than the sum of its proper divisors (225513469896800).

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

135313150230400 is a wasteful number, since it uses less digits than its factorization.

135313150230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63396417 (or 63396400 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 31.

The spelling of 135313150230400 in words is "one hundred thirty-five trillion, three hundred thirteen billion, one hundred fifty million, two hundred thirty thousand, four hundred".