37142144 has 96 divisors (see below), whose sum is σ = 85676940. Its totient is φ = 15974400.

The previous prime is 37142143. The next prime is 37142177. The reversal of 37142144 is 44124173.

It can be written as a sum of positive squares in 6 ways, for example, as 20430400 + 16711744 = 4520^2 + 4088^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37142143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 367694 + ... + 367794.

Almost surely, 2^37142144 is an apocalyptic number.

37142144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42838470).

37142144 is an abundant number, since it is smaller than the sum of its proper divisors (48534796).

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

37142144 is a wasteful number, since it uses less digits than its factorization.

37142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 133 counting only the distinct ones).

The product of its digits is 2688, while the sum is 26.

The square root of 37142144 is about 6094.4354947772. The cubic root of 37142144 is about 333.6483564098.

The spelling of 37142144 in words is "thirty-seven million, one hundred forty-two thousand, one hundred forty-four".