736189740225 has 135 divisors (see below), whose sum is σ = 1427267739513. Its totient is φ = 375110429760.

The previous prime is 736189740217. The next prime is 736189740241. The reversal of 736189740225 is 522047981637.

It is a happy number.

The square root of 736189740225 is 858015.

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

736189740225 is a `hidden beast` number, since 7 + 36 + 189 + 7 + 402 + 25 = 666.

736189740225 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3193493121 + 732996247104 = 56511^2 + 856152^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 736189740225 - 2³ = 736189740217 is a prime.

It is a super-2 number, since 2×736189740225² (a number of 25 digits) contains 22 as substring.

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, 888045111 + ... + 888045939.

It is a 1-persistent number, because it is pandigital, but 2⋅736189740225 = 1472379480450 is not.

Almost surely, 2^736189740225 is an apocalyptic number.

736189740225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

736189740225 is the 858015-th square number.

736189740225 is the 429008-th centered octagonal number.

It is an amenable number.

736189740225 is a deficient number, since it is larger than the sum of its proper divisors (691077999288).

736189740225 is an frugal number, since it uses more digits than its factorization.

736189740225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 736189740225 in words is "seven hundred thirty-six billion, one hundred eighty-nine million, seven hundred forty thousand, two hundred twenty-five".