129771936 has 192 divisors, whose sum is σ = 443520000. Its totient is φ = 36142848.

The previous prime is 129771923. The next prime is 129771947. The reversal of 129771936 is 639177921.

It is a super-4 number, since 4×129771936⁴ (a number of 34 digits) contains 4444 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 129771891 and 129771900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259815 + ... + 260313.

It is an arithmetic number, because the mean of its divisors is an integer number (2310000).

Almost surely, 2^129771936 is an apocalyptic number.

129771936 is a gapful number since it is divisible by the number (16) 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 129771936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221760000).

129771936 is an abundant number, since it is smaller than the sum of its proper divisors (313748064).

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

129771936 is a wasteful number, since it uses less digits than its factorization.

129771936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 554 counting only the distinct ones).

The product of its digits is 142884, while the sum is 45.

The square root of 129771936 is about 11391.7485927315. The cubic root of 129771936 is about 506.2832910892.

The spelling of 129771936 in words is "one hundred twenty-nine million, seven hundred seventy-one thousand, nine hundred thirty-six".