129390240 has 192 divisors, whose sum is σ = 471792384. Its totient is φ = 29196288.

The previous prime is 129390197. The next prime is 129390251. The reversal of 129390240 is 42093921.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 129390198 and 129390207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325722 + ... + 326118.

It is an arithmetic number, because the mean of its divisors is an integer number (2457252).

Almost surely, 2^129390240 is an apocalyptic number.

129390240 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 129390240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235896192).

129390240 is an abundant number, since it is smaller than the sum of its proper divisors (342402144).

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

129390240 is a wasteful number, since it uses less digits than its factorization.

129390240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 129390240 is about 11374.9830769105. The cubic root of 129390240 is about 505.7864294737.

The spelling of 129390240 in words is "one hundred twenty-nine million, three hundred ninety thousand, two hundred forty".