135129465230400 has 567 divisors, whose sum is σ = 487318590018351. Its totient is φ = 35514117550080.

The previous prime is 135129465230393. The next prime is 135129465230471. The reversal of 135129465230400 is 4032564921531.

The square root of 135129465230400 is 11624520.

It is a perfect power (a square), and thus also a powerful number.

135129465230400 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 2 + 9 + 4 + 6 + 5 + 230 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 739421130816 + 134390044099584 = 859896^2 + 11592672^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 101830794537 + ... + 101830795863.

Almost surely, 2^{135129465230400} is an apocalyptic number.

135129465230400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135129465230400 is the 11624520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135129465230400

135129465230400 is an abundant number, since it is smaller than the sum of its proper divisors (352189124787951).

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

135129465230400 is an frugal number, since it uses more digits than its factorization.

135129465230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 135129465230400 in words is "one hundred thirty-five trillion, one hundred twenty-nine billion, four hundred sixty-five million, two hundred thirty thousand, four hundred".