129774144 has 112 divisors (see below), whose sum is σ = 357274368. Its totient is φ = 41545728.

The previous prime is 129774079. The next prime is 129774173. The reversal of 129774144 is 441477921.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 658654 + ... + 658850.

Almost surely, 2^129774144 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 129774144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178637184).

129774144 is an abundant number, since it is smaller than the sum of its proper divisors (227500224).

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

129774144 is a wasteful number, since it uses less digits than its factorization.

129774144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 322 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 129774144 is about 11391.8455045704. The cubic root of 129774144 is about 506.2861624526.

Subtracting from 129774144 its sum of digits (39), we obtain a triangular number (129774105 = T₁₆₁₁₀).

The spelling of 129774144 in words is "one hundred twenty-nine million, seven hundred seventy-four thousand, one hundred forty-four".