135354523624016 has 40 divisors (see below), whose sum is σ = 268050955605120. Its totient is φ = 66196096072704.

The previous prime is 135354523623959. The next prime is 135354523624037. The reversal of 135354523624016 is 610426325453531.

It is a super-5 number, since 5×135354523624016⁵ (a number of 72 digits) contains 55555 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 500258561 + ... + 500529056.

It is an arithmetic number, because the mean of its divisors is an integer number (6701273890128).

Almost surely, 2^{135354523624016} is an apocalyptic number.

135354523624016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135354523624016 is a deficient number, since it is larger than the sum of its proper divisors (132696431981104).

135354523624016 is a wasteful number, since it uses less digits than its factorization.

135354523624016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000787811 (or 1000787805 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 50.

The spelling of 135354523624016 in words is "one hundred thirty-five trillion, three hundred fifty-four billion, five hundred twenty-three million, six hundred twenty-four thousand, sixteen".