135175440 has 80 divisors (see below), whose sum is σ = 426990528. Its totient is φ = 35363328.

The previous prime is 135175427. The next prime is 135175499. The reversal of 135175440 is 44571531.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 135175398 and 135175407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7407 + ... + 18033.

Almost surely, 2^135175440 is an apocalyptic number.

135175440 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 135175440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213495264).

135175440 is an abundant number, since it is smaller than the sum of its proper divisors (291815088).

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

135175440 is a wasteful number, since it uses less digits than its factorization.

135175440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10696 (or 10690 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 135175440 is about 11626.4973229258. The cubic root of 135175440 is about 513.2149086838.

The spelling of 135175440 in words is "one hundred thirty-five million, one hundred seventy-five thousand, four hundred forty".