138525979326436 has 243 divisors, whose sum is σ = 275064088992147. Its totient is φ = 61014155904000.

The previous prime is 138525979326419. The next prime is 138525979326479. The reversal of 138525979326436 is 634623979525831.

The square root of 138525979326436 is 11769706.

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

It can be written as a sum of positive squares in 40 ways, for example, as 53176910062500 + 85349069263936 = 7292250^2 + 9238456^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 765336902266 + ... + 765336902446.

Almost surely, 2^{138525979326436} is an apocalyptic number.

138525979326436 is the 11769706-th square number.

It is an amenable number.

138525979326436 is a deficient number, since it is larger than the sum of its proper divisors (136538109665711).

138525979326436 is an equidigital number, since it uses as much as digits as its factorization.

138525979326436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 298 counting only the distinct ones).

The product of its digits is 1763596800, while the sum is 73.

The spelling of 138525979326436 in words is "one hundred thirty-eight trillion, five hundred twenty-five billion, nine hundred seventy-nine million, three hundred twenty-six thousand, four hundred thirty-six".