129825696 has 288 divisors, whose sum is σ = 468151488. Its totient is φ = 30965760.

The previous prime is 129825679. The next prime is 129825713. The reversal of 129825696 is 696528921.

It is an interprime number because it is at equal distance from previous prime (129825679) and next prime (129825713).

It is a super-2 number, since 2×129825696² = 33709422683768832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 672576 + ... + 672768.

It is an arithmetic number, because the mean of its divisors is an integer number (1625526).

Almost surely, 2^129825696 is an apocalyptic number.

129825696 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 129825696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234075744).

129825696 is an abundant number, since it is smaller than the sum of its proper divisors (338325792).

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

129825696 is a wasteful number, since it uses less digits than its factorization.

129825696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 229 counting only the distinct ones).

The product of its digits is 466560, while the sum is 48.

The square root of 129825696 is about 11394.1079510421. The cubic root of 129825696 is about 506.3531932909.

The spelling of 129825696 in words is "one hundred twenty-nine million, eight hundred twenty-five thousand, six hundred ninety-six".