135399271624848 has 240 divisors, whose sum is σ = 474513298062336. Its totient is φ = 35013713391360.

The previous prime is 135399271624847. The next prime is 135399271624867. The reversal of 135399271624848 is 848426172993531.

135399271624848 is a `hidden beast` number, since 1 + 3 + 53 + 9 + 92 + 7 + 1 + 6 + 2 + 484 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (135399271624847) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 24380236 + ... + 29414187.

Almost surely, 2^{135399271624848} is an apocalyptic number.

135399271624848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135399271624848 is an abundant number, since it is smaller than the sum of its proper divisors (339114026437488).

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

135399271624848 is a wasteful number, since it uses less digits than its factorization.

135399271624848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53794682 (or 53794673 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 135399271624848 in words is "one hundred thirty-five trillion, three hundred ninety-nine billion, two hundred seventy-one million, six hundred twenty-four thousand, eight hundred forty-eight".