37142820 has 288 divisors, whose sum is σ = 140192640. Its totient is φ = 8087040.

The previous prime is 37142797. The next prime is 37142827. The reversal of 37142820 is 2824173.

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

It is not an unprimeable number, because it can be changed into a prime (37142827) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1003842 + ... + 1003878.

It is an arithmetic number, because the mean of its divisors is an integer number (486780).

Almost surely, 2^37142820 is an apocalyptic number.

37142820 is a gapful number since it is divisible by the number (30) 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 37142820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70096320).

37142820 is an abundant number, since it is smaller than the sum of its proper divisors (103049820).

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

37142820 is a wasteful number, since it uses less digits than its factorization.

37142820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 37142820 is about 6094.4909549527. The cubic root of 37142820 is about 333.6503805698.

Adding to 37142820 its reverse (2824173), we get a palindrome (39966993).

The spelling of 37142820 in words is "thirty-seven million, one hundred forty-two thousand, eight hundred twenty".