135920000 has 80 divisors (see below), whose sum is σ = 338563500. Its totient is φ = 54336000.

The previous prime is 135919997. The next prime is 135920003. The reversal of 135920000 is 29531.

It is an interprime number because it is at equal distance from previous prime (135919997) and next prime (135920003).

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135920003) 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, 79151 + ... + 80849.

Almost surely, 2^135920000 is an apocalyptic number.

135920000 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 135920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169281750).

135920000 is an abundant number, since it is smaller than the sum of its proper divisors (202643500).

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

135920000 is an frugal number, since it uses more digits than its factorization.

135920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 135920000 is about 11658.4733134317. The cubic root of 135920000 is about 514.1554637815.

Adding to 135920000 its reverse (29531), we get a palindrome (135949531).

The spelling of 135920000 in words is "one hundred thirty-five million, nine hundred twenty thousand".