135346640 has 80 divisors (see below), whose sum is σ = 369726336. Its totient is φ = 45427200.

The previous prime is 135346621. The next prime is 135346643. The reversal of 135346640 is 46643531.

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 = 135346597 and 135346606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135346643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5525 + ... + 17355.

Almost surely, 2^135346640 is an apocalyptic number.

135346640 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 135346640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184863168).

135346640 is an abundant number, since it is smaller than the sum of its proper divisors (234379696).

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

135346640 is a wasteful number, since it uses less digits than its factorization.

135346640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11868 (or 11862 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 135346640 is about 11633.8574858041. The cubic root of 135346640 is about 513.4314798938.

The spelling of 135346640 in words is "one hundred thirty-five million, three hundred forty-six thousand, six hundred forty".