40135120 has 40 divisors (see below), whose sum is σ = 93636864. Its totient is φ = 15998592.

The previous prime is 40135099. The next prime is 40135141. The reversal of 40135120 is 2153104.

It is an interprime number because it is at equal distance from previous prime (40135099) and next prime (40135141).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×40135120² = 3221655714828800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 40135094 and 40135103.

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 7 ways as a sum of consecutive naturals, for example, 28677 + ... + 30043.

Almost surely, 2^40135120 is an apocalyptic number.

40135120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40135120 is an abundant number, since it is smaller than the sum of its proper divisors (53501744).

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

40135120 is a wasteful number, since it uses less digits than its factorization.

40135120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 40135120 is about 6335.2284883815. The cubic root of 40135120 is about 342.3798431229.

Adding to 40135120 its reverse (2153104), we get a palindrome (42288224).

The spelling of 40135120 in words is "forty million, one hundred thirty-five thousand, one hundred twenty".