37540129 has 9 divisors (see below), whose sum is σ = 41337331. Its totient is φ = 34066120.

The previous prime is 37540127. The next prime is 37540141. The reversal of 37540129 is 92104573.

The square root of 37540129 is 6127.

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., 3294225 + 34245904 = 1815^2 + 5852^2 .

It is not a de Polignac number, because 37540129 - 2¹ = 37540127 is a prime.

It is a super-2 number, since 2×37540129² = 2818522570673282, which contains 22 as substring.

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 37540129.

It is not an unprimeable number, because it can be changed into a prime (37540121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 67119 + ... + 67675.

Almost surely, 2^37540129 is an apocalyptic number.

37540129 is the 6127-th square number.

37540129 is the 3064-th centered octagonal number.

It is an amenable number.

37540129 is a deficient number, since it is larger than the sum of its proper divisors (3797202).

37540129 is an frugal number, since it uses more digits than its factorization.

37540129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The cubic root of 37540129 is about 334.8358265887.

It can be divided in two parts, 375 and 40129, that added together give a palindrome (40504).

The spelling of 37540129 in words is "thirty-seven million, five hundred forty thousand, one hundred twenty-nine".