129892140 has 144 divisors (see below), whose sum is σ = 470181600. Its totient is φ = 29683584.

The previous prime is 129892129. The next prime is 129892159. The reversal of 129892140 is 41298921.

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

It is a junction number, because it is equal to n+sod(n) for n = 129892095 and 129892104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24006 + ... + 28914.

It is an arithmetic number, because the mean of its divisors is an integer number (3265150).

Almost surely, 2^129892140 is an apocalyptic number.

129892140 is a gapful number since it is divisible by the number (10) 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 129892140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235090800).

129892140 is an abundant number, since it is smaller than the sum of its proper divisors (340289460).

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

129892140 is a wasteful number, since it uses less digits than its factorization.

129892140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4941 (or 4926 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 129892140 is about 11397.0232955803. The cubic root of 129892140 is about 506.4395613845.

It can be divided in two parts, 12989 and 2140, that added together give a square (15129 = 123²).

The spelling of 129892140 in words is "one hundred twenty-nine million, eight hundred ninety-two thousand, one hundred forty".