4137000 has 128 divisors (see below), whose sum is σ = 14826240. Its totient is φ = 940800.

The previous prime is 4136999. The next prime is 4137013. The reversal of 4137000 is 7314.

It is a super-2 number, since 2×4137000² = 34229538000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20902 + ... + 21098.

It is an arithmetic number, because the mean of its divisors is an integer number (115830).

Almost surely, 2^4137000 is an apocalyptic number.

4137000 is a gapful number since it is divisible by the number (40) 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 4137000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7413120).

4137000 is an abundant number, since it is smaller than the sum of its proper divisors (10689240).

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

4137000 is a wasteful number, since it uses less digits than its factorization.

4137000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 4137000 is about 2033.9616515559. The cubic root of 4137000 is about 160.5320827549.

The spelling of 4137000 in words is "four million, one hundred thirty-seven thousand".