135117072 has 100 divisors (see below), whose sum is σ = 394440156. Its totient is φ = 44651520.

The previous prime is 135117067. The next prime is 135117089. The reversal of 135117072 is 270711531.

It is a happy number.

135117072 is a `hidden beast` number, since 13 + 511 + 70 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26873856 + 108243216 = 5184^2 + 10404^2 .

It is a super-3 number, since 3×135117072³ (a number of 25 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 177172 + ... + 177932.

Almost surely, 2^135117072 is an apocalyptic number.

135117072 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 135117072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197220078).

135117072 is an abundant number, since it is smaller than the sum of its proper divisors (259323084).

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

135117072 is a wasteful number, since it uses less digits than its factorization.

135117072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 135117072 is about 11623.9869235990. The cubic root of 135117072 is about 513.1410302723.

The spelling of 135117072 in words is "one hundred thirty-five million, one hundred seventeen thousand, seventy-two".