135517472 has 48 divisors (see below), whose sum is σ = 294803712. Its totient is φ = 60994560.

The previous prime is 135517471. The next prime is 135517477. The reversal of 135517472 is 274715531.

It is not an unprimeable number, because it can be changed into a prime (135517471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7097 + ... + 17927.

It is an arithmetic number, because the mean of its divisors is an integer number (6141744).

Almost surely, 2^135517472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135517472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147401856).

135517472 is an abundant number, since it is smaller than the sum of its proper divisors (159286240).

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

135517472 is a wasteful number, since it uses less digits than its factorization.

135517472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10881 (or 10873 counting only the distinct ones).

The product of its digits is 29400, while the sum is 35.

The square root of 135517472 is about 11641.1971892929. The cubic root of 135517472 is about 513.6474036144.

The spelling of 135517472 in words is "one hundred thirty-five million, five hundred seventeen thousand, four hundred seventy-two".