135177672 has 64 divisors (see below), whose sum is σ = 394128000. Its totient is φ = 38619840.

The previous prime is 135177643. The next prime is 135177689. The reversal of 135177672 is 276771531.

It is a self number, because there is not a number n which added to its sum of digits gives 135177672.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22 + ... + 16442.

It is an arithmetic number, because the mean of its divisors is an integer number (6158250).

Almost surely, 2^135177672 is an apocalyptic number.

135177672 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 135177672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197064000).

135177672 is an abundant number, since it is smaller than the sum of its proper divisors (258950328).

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

135177672 is a wasteful number, since it uses less digits than its factorization.

135177672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16451 (or 16433 counting only the distinct ones).

The product of its digits is 61740, while the sum is 39.

The square root of 135177672 is about 11626.5933101661. The cubic root of 135177672 is about 513.2177333818.

The spelling of 135177672 in words is "one hundred thirty-five million, one hundred seventy-seven thousand, six hundred seventy-two".