135772272 has 60 divisors (see below), whose sum is σ = 381192864. Its totient is φ = 45112320.

The previous prime is 135772267. The next prime is 135772283. The reversal of 135772272 is 272277531.

135772272 is a `hidden beast` number, since 13 + 577 + 2 + 2 + 72 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49497 + ... + 52167.

Almost surely, 2^135772272 is an apocalyptic number.

135772272 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 135772272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190596432).

135772272 is an abundant number, since it is smaller than the sum of its proper divisors (245420592).

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

135772272 is a wasteful number, since it uses less digits than its factorization.

135772272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3038 (or 3029 counting only the distinct ones).

The product of its digits is 41160, while the sum is 36.

The square root of 135772272 is about 11652.1359415345. The cubic root of 135772272 is about 513.9691220783.

The spelling of 135772272 in words is "one hundred thirty-five million, seven hundred seventy-two thousand, two hundred seventy-two".