138002148 has 36 divisors (see below), whose sum is σ = 349264188. Its totient is φ = 45944640.

The previous prime is 138002147. The next prime is 138002197. The reversal of 138002148 is 841200831.

It can be written as a sum of positive squares in 2 ways, for example, as 30008484 + 107993664 = 5478^2 + 10392^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×138002148² = 38089185705227808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (138002147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36390 + ... + 40002.

It is an arithmetic number, because the mean of its divisors is an integer number (9701783).

Almost surely, 2^138002148 is an apocalyptic number.

138002148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

138002148 is an abundant number, since it is smaller than the sum of its proper divisors (211262040).

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

138002148 is a wasteful number, since it uses less digits than its factorization.

138002148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4684 (or 4679 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 138002148 is about 11747.4315490664. The cubic root of 138002148 is about 516.7676064086.

Adding to 138002148 its reverse (841200831), we get a palindrome (979202979).

The spelling of 138002148 in words is "one hundred thirty-eight million, two thousand, one hundred forty-eight".