135647040 has 112 divisors (see below), whose sum is σ = 435254400. Its totient is φ = 35788800.

The previous prime is 135647033. The next prime is 135647053. The reversal of 135647040 is 40746531.

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 = 135646989 and 135647007.

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 15 ways as a sum of consecutive naturals, for example, 96261 + ... + 97659.

It is an arithmetic number, because the mean of its divisors is an integer number (3886200).

Almost surely, 2^135647040 is an apocalyptic number.

135647040 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 135647040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217627200).

135647040 is an abundant number, since it is smaller than the sum of its proper divisors (299607360).

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

135647040 is a wasteful number, since it uses less digits than its factorization.

135647040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 135647040 is about 11646.7609231065. The cubic root of 135647040 is about 513.8110505766.

The spelling of 135647040 in words is "one hundred thirty-five million, six hundred forty-seven thousand, forty".