134217936 has 60 divisors (see below), whose sum is σ = 376555140. Its totient is φ = 44628480.

The previous prime is 134217931. The next prime is 134217943. The reversal of 134217936 is 639712431.

It can be written as a sum of positive squares in 2 ways, for example, as 88736400 + 45481536 = 9420^2 + 6744^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 134217936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134217931) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74130 + ... + 75918.

It is an arithmetic number, because the mean of its divisors is an integer number (6275919).

Almost surely, 2^134217936 is an apocalyptic number.

134217936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

134217936 is an abundant number, since it is smaller than the sum of its proper divisors (242337204).

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

134217936 is a wasteful number, since it uses less digits than its factorization.

134217936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2324 (or 2315 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 134217936 is about 11585.2464798985. The cubic root of 134217936 is about 512.0002644855. Note that the first 3 decimals are identical.

The spelling of 134217936 in words is "one hundred thirty-four million, two hundred seventeen thousand, nine hundred thirty-six".