37540125 has 96 divisors (see below), whose sum is σ = 81095040. Its totient is φ = 17085600.

The previous prime is 37540121. The next prime is 37540127. The reversal of 37540125 is 52104573.

It is a happy number.

37540125 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 37540125 - 2² = 37540121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165262 + ... + 165488.

It is an arithmetic number, because the mean of its divisors is an integer number (844740).

Almost surely, 2^37540125 is an apocalyptic number.

37540125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

37540125 is an abundant number, since it is smaller than the sum of its proper divisors (43554915).

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

37540125 is a wasteful number, since it uses less digits than its factorization.

37540125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 37540125 is about 6126.9996735760. Note that the first 3 decimals coincide. The cubic root of 37540125 is about 334.8358146962.

Adding to 37540125 its reverse (52104573), we get a palindrome (89644698).

The spelling of 37540125 in words is "thirty-seven million, five hundred forty thousand, one hundred twenty-five".