129249144 has 48 divisors (see below), whose sum is σ = 365274000. Its totient is φ = 41209344.

The previous prime is 129249101. The next prime is 129249161. The reversal of 129249144 is 441942921.

129249144 is a `hidden beast` number, since 129 + 2 + 491 + 44 = 666.

It is a super-3 number, since 3×129249144³ (a number of 25 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 129249099 and 129249108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37369 + ... + 40680.

It is an arithmetic number, because the mean of its divisors is an integer number (7609875).

Almost surely, 2^129249144 is an apocalyptic number.

It is an amenable number.

129249144 is an abundant number, since it is smaller than the sum of its proper divisors (236024856).

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

129249144 is a wasteful number, since it uses less digits than its factorization.

129249144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78084 (or 78077 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 129249144 is about 11368.7793540028. The cubic root of 129249144 is about 505.6025145251.

The spelling of 129249144 in words is "one hundred twenty-nine million, two hundred forty-nine thousand, one hundred forty-four".