135640000 has 70 divisors (see below), whose sum is σ = 336442304. Its totient is φ = 54240000.

The previous prime is 135639983. The next prime is 135640007. The reversal of 135640000 is 46531.

It is a self number, because there is not a number n which added to its sum of digits gives 135640000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135640007) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 38305 + ... + 41695.

Almost surely, 2^135640000 is an apocalyptic number.

135640000 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 135640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168221152).

135640000 is an abundant number, since it is smaller than the sum of its proper divisors (200802304).

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

135640000 is an frugal number, since it uses more digits than its factorization.

135640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3423 (or 3398 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 135640000 is about 11646.4586892325. The cubic root of 135640000 is about 513.8021615944.

Adding to 135640000 its reverse (46531), we get a palindrome (135686531).

The spelling of 135640000 in words is "one hundred thirty-five million, six hundred forty thousand".