1147380129 has 27 divisors (see below), whose sum is σ = 1929106803. Its totient is φ = 655239312.

The previous prime is 1147380127. The next prime is 1147380161. The reversal of 1147380129 is 9210837411.

It is a happy number.

The square root of 1147380129 is 33873.

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., 716900625 + 430479504 = 26775^2 + 20748^2 .

It is not a de Polignac number, because 1147380129 - 2¹ = 1147380127 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1147380093 and 1147380102.

It is not an unprimeable number, because it can be changed into a prime (1147380127) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 710527 + ... + 712139.

Almost surely, 2^1147380129 is an apocalyptic number.

1147380129 is the 33873-rd square number.

1147380129 is the 16937-th centered octagonal number.

It is an amenable number.

1147380129 is a deficient number, since it is larger than the sum of its proper divisors (781726674).

1147380129 is an frugal number, since it uses more digits than its factorization.

1147380129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3246 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The cubic root of 1147380129 is about 1046.8933507130.

Multiplying 1147380129 by its sum of digits (36), we get a square (41305684644 = 203238²).

The spelling of 1147380129 in words is "one billion, one hundred forty-seven million, three hundred eighty thousand, one hundred twenty-nine".