136542074256 has 405 divisors, whose sum is σ = 458586129729. Its totient is φ = 37814789376.

The previous prime is 136542074239. The next prime is 136542074303. The reversal of 136542074256 is 652470245631.

The square root of 136542074256 is 369516.

It is a perfect power (a square), and thus also a powerful number.

136542074256 is a `hidden beast` number, since 1 + 36 + 542 + 0 + 74 + 2 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 98432787600 + 38109286656 = 313740^2 + 195216^2 .

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 80 ways as a sum of consecutive naturals, for example, 1645085191 + ... + 1645085273.

Almost surely, 2^136542074256 is an apocalyptic number.

136542074256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

136542074256 is the 369516-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136542074256

136542074256 is an abundant number, since it is smaller than the sum of its proper divisors (322044055473).

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

136542074256 is an equidigital number, since it uses as much as digits as its factorization.

136542074256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 136542074256 in words is "one hundred thirty-six billion, five hundred forty-two million, seventy-four thousand, two hundred fifty-six".