138180025 has 9 divisors (see below), whose sum is σ = 171416143. Its totient is φ = 110497000.

The previous prime is 138180023. The next prime is 138180037. The reversal of 138180025 is 520081831.

The square root of 138180025 is 11755.

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

It can be written as a sum of positive squares in only one way, i.e., 49744809 + 88435216 = 7053^2 + 9404^2 .

It is not a de Polignac number, because 138180025 - 2¹ = 138180023 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 138179975 and 138180002.

It is not an unprimeable number, because it can be changed into a prime (138180023) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 57600 + ... + 59950.

Almost surely, 2^138180025 is an apocalyptic number.

138180025 is the 11755-th square number.

138180025 is the 5878-th centered octagonal number.

It is an amenable number.

138180025 is a deficient number, since it is larger than the sum of its proper divisors (33236118).

138180025 is an frugal number, since it uses more digits than its factorization.

138180025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4712 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The cubic root of 138180025 is about 516.9895392007.

It can be divided in two parts, 1381 and 80025, that added together give a triangular number (81406 = T₄₀₃).

The spelling of 138180025 in words is "one hundred thirty-eight million, one hundred eighty thousand, twenty-five".