40135000 has 80 divisors (see below), whose sum is σ = 98406000. Its totient is φ = 15312000.

The previous prime is 40134989. The next prime is 40135013. The reversal of 40135000 is 53104.

It is a super-2 number, since 2×40135000² = 3221636450000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 114826 + ... + 115174.

It is an arithmetic number, because the mean of its divisors is an integer number (1230075).

Almost surely, 2^40135000 is an apocalyptic number.

40135000 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 40135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49203000).

40135000 is an abundant number, since it is smaller than the sum of its proper divisors (58271000).

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

40135000 is a wasteful number, since it uses less digits than its factorization.

40135000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 40135000 is about 6335.2190175242. The cubic root of 40135000 is about 342.3795018954.

Adding to 40135000 its reverse (53104), we get a palindrome (40188104).

The spelling of 40135000 in words is "forty million, one hundred thirty-five thousand".