135041600 has 42 divisors (see below), whose sum is σ = 332290674. Its totient is φ = 54016000.

The previous prime is 135041593. The next prime is 135041609. The reversal of 135041600 is 6140531.

It can be written as a sum of positive squares in 3 ways, for example, as 295936 + 134745664 = 544^2 + 11608^2 .

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

It is not an unprimeable number, because it can be changed into a prime (135041609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40601 + ... + 43800.

Almost surely, 2^135041600 is an apocalyptic number.

135041600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135041600 is an abundant number, since it is smaller than the sum of its proper divisors (197249074).

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

135041600 is an equidigital number, since it uses as much as digits as its factorization.

135041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84423 (or 84408 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 135041600 is about 11620.7400797023. The cubic root of 135041600 is about 513.0454711837.

The spelling of 135041600 in words is "one hundred thirty-five million, forty-one thousand, six hundred".