136343744640 has 512 divisors, whose sum is σ = 510554880000. Its totient is φ = 34292035584.

The previous prime is 136343744629. The next prime is 136343744653. The reversal of 136343744640 is 46447343631.

136343744640 is a `hidden beast` number, since 1 + 3 + 634 + 3 + 7 + 4 + 4 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86347371 + ... + 86348949.

It is an arithmetic number, because the mean of its divisors is an integer number (997177500).

Almost surely, 2^136343744640 is an apocalyptic number.

136343744640 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 136343744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255277440000).

136343744640 is an abundant number, since it is smaller than the sum of its proper divisors (374211135360).

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

136343744640 is a wasteful number, since it uses less digits than its factorization.

136343744640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 45.

The spelling of 136343744640 in words is "one hundred thirty-six billion, three hundred forty-three million, seven hundred forty-four thousand, six hundred forty".