130153024 has 56 divisors (see below), whose sum is σ = 266977368. Its totient is φ = 62914560.

The previous prime is 130152991. The next prime is 130153039. The reversal of 130153024 is 420351031.

130153024 = T₄₃₉ + T₄₄₀ + ... + T₉₅₂.

It can be written as a sum of positive squares in 4 ways, for example, as 11778624 + 118374400 = 3432^2 + 10880^2 .

It is a junction number, because it is equal to n+sod(n) for n = 130152992 and 130153010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 506304 + ... + 506560.

It is an arithmetic number, because the mean of its divisors is an integer number (4767453).

Almost surely, 2^130153024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130153024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133488684).

130153024 is an abundant number, since it is smaller than the sum of its proper divisors (136824344).

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

130153024 is a wasteful number, since it uses less digits than its factorization.

130153024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 130153024 is about 11408.4628237112. The cubic root of 130153024 is about 506.7783902592.

The spelling of 130153024 in words is "one hundred thirty million, one hundred fifty-three thousand, twenty-four".