136577128596480 has 1760 divisors, whose sum is σ = 578421984792960. Its totient is φ = 30560471285760.

The previous prime is 136577128596409. The next prime is 136577128596511. The reversal of 136577128596480 is 84695821775631.

136577128596480 is a `hidden beast` number, since 1 + 3 + 6 + 5 + 7 + 7 + 1 + 28 + 596 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

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

It is a junction number, because it is equal to n+sod(n) for n = 136577128596399 and 136577128596408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10022531427 + ... + 10022545053.

It is an arithmetic number, because the mean of its divisors is an integer number (328648854996).

It is a 1-persistent number, because it is pandigital, but 2⋅136577128596480 = 273154257192960 is not.

Almost surely, 2^{136577128596480} is an apocalyptic number.

136577128596480 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 136577128596480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289210992396480).

136577128596480 is an abundant number, since it is smaller than the sum of its proper divisors (441844856196480).

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

136577128596480 is a wasteful number, since it uses less digits than its factorization.

136577128596480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13714 (or 13661 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 136577128596480 in words is "one hundred thirty-six trillion, five hundred seventy-seven billion, one hundred twenty-eight million, five hundred ninety-six thousand, four hundred eighty".