135491040 has 144 divisors (see below), whose sum is σ = 475046208. Its totient is φ = 35140608.

The previous prime is 135491039. The next prime is 135491047. The reversal of 135491040 is 40194531.

135491040 is a `hidden beast` number, since 13 + 549 + 104 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 135490995 and 135491013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135491047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52009 + ... + 54551.

It is an arithmetic number, because the mean of its divisors is an integer number (3298932).

Almost surely, 2^135491040 is an apocalyptic number.

135491040 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 135491040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237523104).

135491040 is an abundant number, since it is smaller than the sum of its proper divisors (339555168).

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

135491040 is a wasteful number, since it uses less digits than its factorization.

135491040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2601 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 135491040 is about 11640.0618555058. The cubic root of 135491040 is about 513.6140066638.

The spelling of 135491040 in words is "one hundred thirty-five million, four hundred ninety-one thousand, forty".