129753936 has 60 divisors (see below), whose sum is σ = 391069588. Its totient is φ = 39923712.

The previous prime is 129753929. The next prime is 129753959. The reversal of 129753936 is 639357921.

It can be written as a sum of positive squares in 2 ways, for example, as 84272400 + 45481536 = 9180^2 + 6744^2 .

It is a junction number, because it is equal to n+sod(n) for n = 129753891 and 129753900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32785 + ... + 36528.

Almost surely, 2^129753936 is an apocalyptic number.

129753936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

129753936 is an abundant number, since it is smaller than the sum of its proper divisors (261315652).

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

129753936 is a wasteful number, since it uses less digits than its factorization.

129753936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69340 (or 69331 counting only the distinct ones).

The product of its digits is 306180, while the sum is 45.

The square root of 129753936 is about 11390.9585198086. The cubic root of 129753936 is about 506.2598820202.

The spelling of 129753936 in words is "one hundred twenty-nine million, seven hundred fifty-three thousand, nine hundred thirty-six".