136895241650176 has 207 divisors, whose sum is σ = 285003736519879. Its totient is φ = 65751889215488.

The previous prime is 136895241650173. The next prime is 136895241650221. The reversal of 136895241650176 is 671056142598631.

The square root of 136895241650176 is 11700224.

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

It can be written as a sum of positive squares in 4 ways, for example, as 52412966502400 + 84482275147776 = 7239680^2 + 9191424^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (136895241650173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 694899703710 + ... + 694899703906.

It is a 1-persistent number, because it is pandigital, but 2⋅136895241650176 = 273790483300352 is not.

Almost surely, 2^{136895241650176} is an apocalyptic number.

136895241650176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

136895241650176 is the 11700224-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136895241650176

136895241650176 is an abundant number, since it is smaller than the sum of its proper divisors (148108494869703).

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

136895241650176 is an frugal number, since it uses more digits than its factorization.

136895241650176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 64.

136895241650176 divided by its sum of digits (64) gives a square (2138988150784 = 1462528²).

The spelling of 136895241650176 in words is "one hundred thirty-six trillion, eight hundred ninety-five billion, two hundred forty-one million, six hundred fifty thousand, one hundred seventy-six".