135631872 has 66 divisors (see below), whose sum is σ = 391660698. Its totient is φ = 45207552.

The previous prime is 135631871. The next prime is 135631907. The reversal of 135631872 is 278136531.

135631872 is a `hidden beast` number, since 13 + 5 + 631 + 8 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 103550976 + 32080896 = 10176^2 + 5664^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135631871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1858 + ... + 16574.

It is an arithmetic number, because the mean of its divisors is an integer number (5934253).

Almost surely, 2^135631872 is an apocalyptic number.

135631872 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 135631872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195830349).

135631872 is an abundant number, since it is smaller than the sum of its proper divisors (256028826).

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

135631872 is a wasteful number, since it uses less digits than its factorization.

135631872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14743 (or 14722 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 135631872 is about 11646.1097367318. The cubic root of 135631872 is about 513.7918984779.

It can be divided in two parts, 135631 and 872, that added together give a triangular number (136503 = T₅₂₂).

The spelling of 135631872 in words is "one hundred thirty-five million, six hundred thirty-one thousand, eight hundred seventy-two".