135434640 has 240 divisors, whose sum is σ = 482129856. Its totient is φ = 31180800.

The previous prime is 135434639. The next prime is 135434647. The reversal of 135434640 is 46434531.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 = 135434598 and 135434607.

It is not an unprimeable number, because it can be changed into a prime (135434647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2220210 + ... + 2220270.

Almost surely, 2^135434640 is an apocalyptic number.

135434640 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 135434640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241064928).

135434640 is an abundant number, since it is smaller than the sum of its proper divisors (346695216).

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

135434640 is a wasteful number, since it uses less digits than its factorization.

135434640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 135434640 is about 11637.6389357979. The cubic root of 135434640 is about 513.5427304861.

The spelling of 135434640 in words is "one hundred thirty-five million, four hundred thirty-four thousand, six hundred forty".