135323396167680 has 384 divisors, whose sum is σ = 549751304793600. Its totient is φ = 30931061538816.

The previous prime is 135323396167643. The next prime is 135323396167699. The reversal of 135323396167680 is 86761693323531.

135323396167680 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 2 + 3 + 3 + 9 + 616 + 7 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×135323396167680² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 33025422 + ... + 36896141.

It is an arithmetic number, because the mean of its divisors is an integer number (1431644022900).

Almost surely, 2^{135323396167680} is an apocalyptic number.

135323396167680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135323396167680 is an abundant number, since it is smaller than the sum of its proper divisors (414427908625920).

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

135323396167680 is an equidigital number, since it uses as much as digits as its factorization.

135323396167680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69921606 (or 69921580 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 63.

The spelling of 135323396167680 in words is "one hundred thirty-five trillion, three hundred twenty-three billion, three hundred ninety-six million, one hundred sixty-seven thousand, six hundred eighty".