136483045241760 has 864 divisors, whose sum is σ = 558443628484560. Its totient is φ = 30243248308224.

The previous prime is 136483045241681. The next prime is 136483045241773. The reversal of 136483045241760 is 67142540384631.

136483045241760 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 83 + 0 + 452 + 41 + 76 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 92976726293136 + 43506318948624 = 9642444^2 + 6595932^2 .

It is a junction number, because it is equal to n+sod(n) for n = 136483045241697 and 136483045241706.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 723075076 + ... + 723263804.

Almost surely, 2^{136483045241760} is an apocalyptic number.

136483045241760 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 136483045241760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279221814242280).

136483045241760 is an abundant number, since it is smaller than the sum of its proper divisors (421960583242800).

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

136483045241760 is a wasteful number, since it uses less digits than its factorization.

136483045241760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189078 (or 189060 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 136483045241760 in words is "one hundred thirty-six trillion, four hundred eighty-three billion, forty-five million, two hundred forty-one thousand, seven hundred sixty".