138324290652 has 144 divisors (see below), whose sum is σ = 379044556800. Its totient is φ = 44055161280.

The previous prime is 138324290651. The next prime is 138324290653. The reversal of 138324290652 is 256092423831.

138324290652 is a `hidden beast` number, since 1 + 38 + 324 + 290 + 6 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (138324290651) and next prime (138324290653).

It is a junction number, because it is equal to n+sod(n) for n = 138324290598 and 138324290607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138324290651) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2351374 + ... + 2409482.

Almost surely, 2^138324290652 is an apocalyptic number.

138324290652 is a gapful number since it is divisible by the number (12) 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 138324290652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189522278400).

138324290652 is an abundant number, since it is smaller than the sum of its proper divisors (240720266148).

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

138324290652 is a wasteful number, since it uses less digits than its factorization.

138324290652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58238 (or 58224 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 138324290652 in words is "one hundred thirty-eight billion, three hundred twenty-four million, two hundred ninety thousand, six hundred fifty-two".