129190464 has 224 divisors, whose sum is σ = 419892480. Its totient is φ = 39191040.

The previous prime is 129190459. The next prime is 129190469. The reversal of 129190464 is 464091921.

It is a happy number.

129190464 is a `hidden beast` number, since 1 + 2 + 9 + 190 + 464 = 666.

It is an interprime number because it is at equal distance from previous prime (129190459) and next prime (129190469).

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

It is not an unprimeable number, because it can be changed into a prime (129190469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1819549 + ... + 1819619.

It is an arithmetic number, because the mean of its divisors is an integer number (1874520).

Almost surely, 2^129190464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129190464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209946240).

129190464 is an abundant number, since it is smaller than the sum of its proper divisors (290702016).

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

129190464 is an frugal number, since it uses more digits than its factorization.

129190464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 129190464 is about 11366.1983090214. The cubic root of 129190464 is about 505.5259872700.

The spelling of 129190464 in words is "one hundred twenty-nine million, one hundred ninety thousand, four hundred sixty-four".