189177153025 has 135 divisors (see below), whose sum is σ = 296832521871. Its totient is φ = 119251480320.

The previous prime is 189177152993. The next prime is 189177153041. The reversal of 189177153025 is 520351771981.

The square root of 189177153025 is 434945.

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

It can be written as a sum of positive squares in 7 ways, for example, as 20614354929 + 168562798096 = 143577^2 + 410564^2 .

It is not a de Polignac number, because 189177153025 - 2⁵ = 189177152993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 189177153025.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4399468654 + ... + 4399468696.

Almost surely, 2^189177153025 is an apocalyptic number.

189177153025 is the 434945-th square number.

189177153025 is the 217473-rd centered octagonal number.

It is an amenable number.

189177153025 is a deficient number, since it is larger than the sum of its proper divisors (107655368846).

189177153025 is an frugal number, since it uses more digits than its factorization.

189177153025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 49.

Multiplying 189177153025 by its sum of digits (49), we get a square (9269680498225 = 3044615²).

189177153025 divided by its sum of digits (49) gives a square (3860758225 = 62135²).

The spelling of 189177153025 in words is "one hundred eighty-nine billion, one hundred seventy-seven million, one hundred fifty-three thousand, twenty-five".