135272592 has 400 divisors, whose sum is σ = 510856192. Its totient is φ = 33592320.

The previous prime is 135272513. The next prime is 135272593. The reversal of 135272592 is 295272531.

135272592 is a `hidden beast` number, since 13 + 52 + 7 + 2 + 592 = 666.

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

Its product of digits (37800) is a multiple of the sum of its prime factors (108).

It is not an unprimeable number, because it can be changed into a prime (135272593) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3655998 + ... + 3656034.

Almost surely, 2^135272592 is an apocalyptic number.

135272592 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 135272592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255428096).

135272592 is an abundant number, since it is smaller than the sum of its proper divisors (375583600).

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

135272592 is a wasteful number, since it uses less digits than its factorization.

135272592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 93 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 135272592 is about 11630.6746149998. The cubic root of 135272592 is about 513.3378302112.

The spelling of 135272592 in words is "one hundred thirty-five million, two hundred seventy-two thousand, five hundred ninety-two".