136245224448 has 308 divisors, whose sum is σ = 410647073340. Its totient is φ = 45160022016.

The previous prime is 136245224447. The next prime is 136245224483. The reversal of 136245224448 is 844422542631.

136245224448 is a `hidden beast` number, since 1 + 362 + 4 + 5 + 2 + 244 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 101093474304 + 35151750144 = 317952^2 + 187488^2 .

It is a super-2 number, since 2×136245224448² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (136245224443) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 170947186 + ... + 170947982.

Almost surely, 2^136245224448 is an apocalyptic number.

136245224448 is a gapful number since it is divisible by the number (18) 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 136245224448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205323536670).

136245224448 is an abundant number, since it is smaller than the sum of its proper divisors (274401848892).

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

136245224448 is an frugal number, since it uses more digits than its factorization.

136245224448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1031 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 45.

The spelling of 136245224448 in words is "one hundred thirty-six billion, two hundred forty-five million, two hundred twenty-four thousand, four hundred forty-eight".