37142490 has 96 divisors (see below), whose sum is σ = 113171904. Its totient is φ = 7714560.

The previous prime is 37142489. The next prime is 37142491. The reversal of 37142490 is 9424173.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (37142489) and next prime (37142491).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (37142491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15022 + ... + 17318.

It is an arithmetic number, because the mean of its divisors is an integer number (1178874).

Almost surely, 2^37142490 is an apocalyptic number.

37142490 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 37142490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56585952).

37142490 is an abundant number, since it is smaller than the sum of its proper divisors (76029414).

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

37142490 is a wasteful number, since it uses less digits than its factorization.

37142490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 37142490 is about 6094.4638812614. The cubic root of 37142490 is about 333.6493924474.

The spelling of 37142490 in words is "thirty-seven million, one hundred forty-two thousand, four hundred ninety".