135475200 has 468 divisors, whose sum is σ = 578939880. Its totient is φ = 30965760.

The previous prime is 135475199. The next prime is 135475201. The reversal of 135475200 is 2574531.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

135475200 is a `hidden beast` number, since 135 + 4 + 7 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (135475199) and next prime (135475201).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (135475201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19353597 + ... + 19353603.

Almost surely, 2^135475200 is an apocalyptic number.

135475200 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 135475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289469940).

135475200 is an abundant number, since it is smaller than the sum of its proper divisors (443464680).

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

135475200 is an equidigital number, since it uses as much as digits as its factorization.

135475200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 135475200 is about 11639.3814268629. The cubic root of 135475200 is about 513.5939906712.

Multiplying 135475200 by its sum of digits (27), we get a square (3657830400 = 60480²).

135475200 divided by its sum of digits (27) gives a square (5017600 = 2240²).

The spelling of 135475200 in words is "one hundred thirty-five million, four hundred seventy-five thousand, two hundred".