136848048311520 has 2016 divisors, whose sum is σ = 608177350009152. Its totient is φ = 28829305257984.

The previous prime is 136848048311503. The next prime is 136848048311627. The reversal of 136848048311520 is 25113840848631.

It is a happy number.

136848048311520 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 4 + 8 + 0 + 483 + 1 + 152 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×136848048311520² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 76751568549 + ... + 76751570331.

It is an arithmetic number, because the mean of its divisors is an integer number (301675272822).

Almost surely, 2^{136848048311520} is an apocalyptic number.

136848048311520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136848048311520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304088675004576).

136848048311520 is an abundant number, since it is smaller than the sum of its proper divisors (471329301697632).

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

136848048311520 is a wasteful number, since it uses less digits than its factorization.

136848048311520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2876 (or 2846 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 136848048311520 in words is "one hundred thirty-six trillion, eight hundred forty-eight billion, forty-eight million, three hundred eleven thousand, five hundred twenty".