136397262400 has 189 divisors, whose sum is σ = 390714246129. Its totient is φ = 46729320960.

The previous prime is 136397262343. The next prime is 136397262401. The reversal of 136397262400 is 4262793631.

The square root of 136397262400 is 369320.

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

It can be written as a sum of positive squares in only one way, i.e., 49103014464 + 87294247936 = 221592^2 + 295456^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (136397262401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 103408941 + ... + 103410259.

Almost surely, 2^136397262400 is an apocalyptic number.

136397262400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

136397262400 is the 369320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136397262400

136397262400 is an abundant number, since it is smaller than the sum of its proper divisors (254316983729).

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

136397262400 is an frugal number, since it uses more digits than its factorization.

136397262400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 43.

The spelling of 136397262400 in words is "one hundred thirty-six billion, three hundred ninety-seven million, two hundred sixty-two thousand, four hundred".