130074240 has 128 divisors (see below), whose sum is σ = 426049920. Its totient is φ = 33730560.

The previous prime is 130074221. The next prime is 130074257. The reversal of 130074240 is 42470031.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×130074240³ (a number of 25 digits) contains 333 as substring.

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, 70125 + ... + 71955.

It is an arithmetic number, because the mean of its divisors is an integer number (3328515).

Almost surely, 2^130074240 is an apocalyptic number.

130074240 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 130074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213024960).

130074240 is an abundant number, since it is smaller than the sum of its proper divisors (295975680).

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

130074240 is a wasteful number, since it uses less digits than its factorization.

130074240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 130074240 is about 11405.0094256866. The cubic root of 130074240 is about 506.6761155517.

The spelling of 130074240 in words is "one hundred thirty million, seventy-four thousand, two hundred forty".