41136000 has 128 divisors (see below), whose sum is σ = 136524960. Its totient is φ = 10956800.

The previous prime is 41135999. The next prime is 41136019. The reversal of 41136000 is 63114.

41136000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 47572 + ... + 48428.

Almost surely, 2^41136000 is an apocalyptic number.

41136000 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 41136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68262480).

41136000 is an abundant number, since it is smaller than the sum of its proper divisors (95388960).

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

41136000 is an equidigital number, since it uses as much as digits as its factorization.

41136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 41136000 is about 6413.7352611407. The cubic root of 41136000 is about 345.2025695472.

Adding to 41136000 its reverse (63114), we get a palindrome (41199114).

The spelling of 41136000 in words is "forty-one million, one hundred thirty-six thousand".