137428729 has 9 divisors (see below), whose sum is σ = 145277967. Its totient is φ = 129984624.

The previous prime is 137428721. The next prime is 137428741. The reversal of 137428729 is 927824731.

The square root of 137428729 is 11723.

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., 3980025 + 133448704 = 1995^2 + 11552^2 .

It is not a de Polignac number, because 137428729 - 2³ = 137428721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137428721) 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, 222429 + ... + 223045.

Almost surely, 2^137428729 is an apocalyptic number.

137428729 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

137428729 is the 11723-rd square number.

137428729 is the 5862-nd centered octagonal number.

It is an amenable number.

137428729 is a deficient number, since it is larger than the sum of its proper divisors (7849238).

137428729 is an frugal number, since it uses more digits than its factorization.

137428729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 636 counting only the distinct ones).

The product of its digits is 169344, while the sum is 43.

The cubic root of 137428729 is about 516.0508645750.

It can be divided in two parts, 1374 and 28729, that added together give a palindrome (30103).

The spelling of 137428729 in words is "one hundred thirty-seven million, four hundred twenty-eight thousand, seven hundred twenty-nine".