135786562824960 has 144 divisors (see below), whose sum is σ = 481853705702880. Its totient is φ = 36209750077440.

The previous prime is 135786562824953. The next prime is 135786562825007. The reversal of 135786562824960 is 69428265687531.

135786562824960 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 8 + 6 + 56 + 2 + 82 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1964470111 + ... + 1964539230.

It is a 1-persistent number, because it is pandigital, but 2⋅135786562824960 = 271573125649920 is not.

Almost surely, 2^{135786562824960} is an apocalyptic number.

135786562824960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135786562824960 is an abundant number, since it is smaller than the sum of its proper divisors (346067142877920).

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

135786562824960 is an equidigital number, since it uses as much as digits as its factorization.

135786562824960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3929009371 (or 3929009351 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 135786562824960 in words is "one hundred thirty-five trillion, seven hundred eighty-six billion, five hundred sixty-two million, eight hundred twenty-four thousand, nine hundred sixty".