37144107 has 144 divisors (see below), whose sum is σ = 79672320. Its totient is φ = 16329600.

The previous prime is 37144097. The next prime is 37144109. The reversal of 37144107 is 70144173.

37144107 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 37144107 - 2⁴ = 37144091 is a prime.

It is not an unprimeable number, because it can be changed into a prime (37144109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1198182 + ... + 1198212.

It is an arithmetic number, because the mean of its divisors is an integer number (553280).

Almost surely, 2^37144107 is an apocalyptic number.

37144107 is an abundant number, since it is smaller than the sum of its proper divisors (42528213).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

37144107 is a wasteful number, since it uses less digits than its factorization.

37144107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 37144107 is about 6094.5965411994. The cubic root of 37144107 is about 333.6542341910.

The spelling of 37144107 in words is "thirty-seven million, one hundred forty-four thousand, one hundred seven".