136643189760 has 1320 divisors, whose sum is σ = 616681185120. Its totient is φ = 28320399360.

The previous prime is 136643189743. The next prime is 136643189777. The reversal of 136643189760 is 67981346631.

It is a happy number.

136643189760 is a `hidden beast` number, since 1 + 3 + 66 + 431 + 8 + 97 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (136643189743) and next prime (136643189777).

It is a tau number, because it is divible by the number of its divisors (1320).

It is a super-2 number, since 2×136643189760² (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 = 136643189697 and 136643189706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 351267646 + ... + 351268034.

It is an arithmetic number, because the mean of its divisors is an integer number (467182716).

Almost surely, 2^136643189760 is an apocalyptic number.

136643189760 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 136643189760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308340592560).

136643189760 is an abundant number, since it is smaller than the sum of its proper divisors (480037995360).

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

136643189760 is a wasteful number, since it uses less digits than its factorization.

136643189760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 136643189760 in words is "one hundred thirty-six billion, six hundred forty-three million, one hundred eighty-nine thousand, seven hundred sixty".