13340822148 has 120 divisors (see below), whose sum is σ = 37294216344. Its totient is φ = 4143744000.

The previous prime is 13340822141. The next prime is 13340822171. The reversal of 13340822148 is 84122804331.

It is a happy number.

13340822148 is a `hidden beast` number, since 1 + 33 + 408 + 2 + 214 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2475261504 + 10865560644 = 49752^2 + 104238^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13340822141) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 544318 + ... + 568298.

Almost surely, 2^13340822148 is an apocalyptic number.

13340822148 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 13340822148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18647108172).

13340822148 is an abundant number, since it is smaller than the sum of its proper divisors (23953394196).

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

13340822148 is a wasteful number, since it uses less digits than its factorization.

13340822148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24115 (or 24104 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 13340822148 in words is "thirteen billion, three hundred forty million, eight hundred twenty-two thousand, one hundred forty-eight".