129773952 has 432 divisors, whose sum is σ = 502620300. Its totient is φ = 31933440.

The previous prime is 129773879. The next prime is 129773953. The reversal of 129773952 is 259377921.

129773952 = 78³ + 79³ + ... + 153³.

Its product of digits (238140) is a multiple of the sum of its prime divisors (42).

It is a junction number, because it is equal to n+sod(n) for n = 129773898 and 129773907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129773953) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 6830199 + ... + 6830217.

Almost surely, 2^129773952 is an apocalyptic number.

129773952 is a gapful number since it is divisible by the number (12) 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 129773952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251310150).

129773952 is an abundant number, since it is smaller than the sum of its proper divisors (372846348).

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

129773952 is a wasteful number, since it uses less digits than its factorization.

129773952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 42 counting only the distinct ones).

The product of its digits is 238140, while the sum is 45.

The square root of 129773952 is about 11391.8370774867. The cubic root of 129773952 is about 506.2859127701.

The spelling of 129773952 in words is "one hundred twenty-nine million, seven hundred seventy-three thousand, nine hundred fifty-two".