135701040 has 80 divisors (see below), whose sum is σ = 442828800. Its totient is φ = 34281216.

The previous prime is 135701039. The next prime is 135701053. The reversal of 135701040 is 40107531.

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

It is a junction number, because it is equal to n+sod(n) for n = 135700998 and 135701016.

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, 10320 + ... + 19439.

It is an arithmetic number, because the mean of its divisors is an integer number (5535360).

Almost surely, 2^135701040 is an apocalyptic number.

135701040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135701040 is an abundant number, since it is smaller than the sum of its proper divisors (307127760).

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

135701040 is a wasteful number, since it uses less digits than its factorization.

135701040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29794 (or 29788 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 135701040 is about 11649.0789335466. The cubic root of 135701040 is about 513.8792228856.

Adding to 135701040 its reverse (40107531), we get a palindrome (175808571).

The spelling of 135701040 in words is "one hundred thirty-five million, seven hundred one thousand, forty".