129893904 has 180 divisors, whose sum is σ = 434151900. Its totient is φ = 36126720.

The previous prime is 129893891. The next prime is 129893917. The reversal of 129893904 is 409398921.

It is an interprime number because it is at equal distance from previous prime (129893891) and next prime (129893917).

It can be written as a sum of positive squares in 2 ways, for example, as 36578304 + 93315600 = 6048^2 + 9660^2 .

It is a super-2 number, since 2×129893904² = 33744852592722432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 129893904.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 289072 + ... + 289520.

It is an arithmetic number, because the mean of its divisors is an integer number (2411955).

Almost surely, 2^129893904 is an apocalyptic number.

129893904 is a gapful number since it is divisible by the number (14) 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 129893904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217075950).

129893904 is an abundant number, since it is smaller than the sum of its proper divisors (304257996).

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

129893904 is a wasteful number, since it uses less digits than its factorization.

129893904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 129893904 is about 11397.1006839459. The cubic root of 129893904 is about 506.4418539413.

The spelling of 129893904 in words is "one hundred twenty-nine million, eight hundred ninety-three thousand, nine hundred four".