129379740 has 192 divisors, whose sum is σ = 450723840. Its totient is φ = 27060480.

The previous prime is 129379739. The next prime is 129379753. The reversal of 129379740 is 47973921.

129379740 = 4018² + 4019² + ... + 4025².

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 129379692 and 129379701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 247119 + ... + 247641.

It is an arithmetic number, because the mean of its divisors is an integer number (2347520).

Almost surely, 2^129379740 is an apocalyptic number.

129379740 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 129379740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225361920).

129379740 is an abundant number, since it is smaller than the sum of its proper divisors (321344100).

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

129379740 is a wasteful number, since it uses less digits than its factorization.

129379740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 129379740 is about 11374.5215283985. The cubic root of 129379740 is about 505.7727476041.

The spelling of 129379740 in words is "one hundred twenty-nine million, three hundred seventy-nine thousand, seven hundred forty".