135456100 has 72 divisors (see below), whose sum is σ = 327557160. Its totient is φ = 48276480.

The previous prime is 135456089. The next prime is 135456103. The reversal of 135456100 is 1654531.

It can be written as a sum of positive squares in 12 ways, for example, as 71199844 + 64256256 = 8438^2 + 8016^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (135456103) 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 23 ways as a sum of consecutive naturals, for example, 35904 + ... + 39496.

It is an arithmetic number, because the mean of its divisors is an integer number (4549405).

Almost surely, 2^135456100 is an apocalyptic number.

135456100 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 135456100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163778580).

135456100 is an abundant number, since it is smaller than the sum of its proper divisors (192101060).

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

135456100 is a wasteful number, since it uses less digits than its factorization.

135456100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3649 (or 3642 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 135456100 is about 11638.5609076037. The cubic root of 135456100 is about 513.5698531507.

The spelling of 135456100 in words is "one hundred thirty-five million, four hundred fifty-six thousand, one hundred".