36146755129 has 9 divisors (see below), whose sum is σ = 37356484239. Its totient is φ = 34975027080.

The previous prime is 36146755109. The next prime is 36146755147. The reversal of 36146755129 is 92155764163.

The square root of 36146755129 is 190123.

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., 35000797225 + 1145957904 = 187085^2 + 33852^2 .

It is not a de Polignac number, because 36146755129 - 2⁵ = 36146755097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36146755109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5890747 + ... + 5896879.

It is an arithmetic number, because the mean of its divisors is an integer number (4150720471).

Almost surely, 2^36146755129 is an apocalyptic number.

36146755129 is the 190123-rd square number.

36146755129 is the 95062-nd centered octagonal number.

It is an amenable number.

36146755129 is a deficient number, since it is larger than the sum of its proper divisors (1209729110).

36146755129 is an frugal number, since it uses more digits than its factorization.

36146755129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12328 (or 6164 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 49.

Multiplying 36146755129 by its sum of digits (49), we get a square (1771191001321 = 1330861²).

The spelling of 36146755129 in words is "thirty-six billion, one hundred forty-six million, seven hundred fifty-five thousand, one hundred twenty-nine".