136661484960 has 2304 divisors, whose sum is σ = 689196211200. Its totient is φ = 24670863360.

The previous prime is 136661484929. The next prime is 136661484983. The reversal of 136661484960 is 69484166631.

It is a super-2 number, since 2×136661484960² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 136661484897 and 136661484906.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8038910872 + ... + 8038910888.

It is an arithmetic number, because the mean of its divisors is an integer number (299130300).

Almost surely, 2^136661484960 is an apocalyptic number.

136661484960 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 136661484960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344598105600).

136661484960 is an abundant number, since it is smaller than the sum of its proper divisors (552534726240).

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

136661484960 is a wasteful number, since it uses less digits than its factorization.

136661484960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 136661484960 in words is "one hundred thirty-six billion, six hundred sixty-one million, four hundred eighty-four thousand, nine hundred sixty".