10135440 has 120 divisors (see below), whose sum is σ = 38920128. Its totient is φ = 2315520.

The previous prime is 10135423. The next prime is 10135469. The reversal of 10135440 is 4453101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 4035 + ... + 6045.

Almost surely, 2^10135440 is an apocalyptic number.

10135440 is a gapful number since it is divisible by the number (10) 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 10135440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19460064).

10135440 is an abundant number, since it is smaller than the sum of its proper divisors (28784688).

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

10135440 is a wasteful number, since it uses less digits than its factorization.

10135440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10135440 is about 3183.6205804084. The cubic root of 10135440 is about 216.4117659822.

Adding to 10135440 its reverse (4453101), we get a palindrome (14588541).

The spelling of 10135440 in words is "ten million, one hundred thirty-five thousand, four hundred forty".