135185472 has 84 divisors (see below), whose sum is σ = 400895820. Its totient is φ = 43502592.

The previous prime is 135185459. The next prime is 135185473. The reversal of 135185472 is 274581531.

135185472 is a `hidden beast` number, since 1 + 3 + 5 + 185 + 472 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 65028096 + 70157376 = 8064^2 + 8376^2 .

It is a super-2 number, since 2×135185472² = 36550223679725568, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (135185473) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12658 + ... + 20750.

Almost surely, 2^135185472 is an apocalyptic number.

135185472 is a gapful number since it is divisible by the number (12) 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 135185472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200447910).

135185472 is an abundant number, since it is smaller than the sum of its proper divisors (265710348).

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

135185472 is a wasteful number, since it uses less digits than its factorization.

135185472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8140 (or 8127 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 135185472 is about 11626.9287432236. The cubic root of 135185472 is about 513.2276043939.

The spelling of 135185472 in words is "one hundred thirty-five million, one hundred eighty-five thousand, four hundred seventy-two".