135574272 has 162 divisors, whose sum is σ = 415081212. Its totient is φ = 42550272.

The previous prime is 135574261. The next prime is 135574277. The reversal of 135574272 is 272475531.

135574272 is a `hidden beast` number, since 13 + 5 + 574 + 2 + 72 = 666.

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 (135574277) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 831663 + ... + 831825.

Almost surely, 2^135574272 is an apocalyptic number.

135574272 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 135574272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207540606).

135574272 is an abundant number, since it is smaller than the sum of its proper divisors (279506940).

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

135574272 is a wasteful number, since it uses less digits than its factorization.

135574272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 187 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 135574272 is about 11643.6365453410. The cubic root of 135574272 is about 513.7191559794.

The spelling of 135574272 in words is "one hundred thirty-five million, five hundred seventy-four thousand, two hundred seventy-two".