135489600 has 189 divisors, whose sum is σ = 486577767. Its totient is φ = 35758080.

The previous prime is 135489593. The next prime is 135489617. The reversal of 135489600 is 6984531.

The square root of 135489600 is 11640.

It is a perfect power (a square), and thus also a powerful number.

135489600 is a `hidden beast` number, since 1 + 3 + 5 + 48 + 9 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4981824 + 130507776 = 2232^2 + 11424^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1396752 + ... + 1396848.

Almost surely, 2^135489600 is an apocalyptic number.

135489600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135489600 is the 11640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135489600

135489600 is an abundant number, since it is smaller than the sum of its proper divisors (351088167).

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

135489600 is an equidigital number, since it uses as much as digits as its factorization.

135489600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The cubic root of 135489600 is about 513.6121870925.

Multiplying 135489600 by its sum of digits (36), we get a square (4877625600 = 69840²).

135489600 divided by its sum of digits (36) gives a square (3763600 = 1940²).

The spelling of 135489600 in words is "one hundred thirty-five million, four hundred eighty-nine thousand, six hundred".