130527540 has 216 divisors, whose sum is σ = 469693224. Its totient is φ = 29145600.

The previous prime is 130527503. The next prime is 130527541. The reversal of 130527540 is 45725031.

It is a happy number.

130527540 is a `hidden beast` number, since 130 + 527 + 5 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 156816 + 130370724 = 396^2 + 11418^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130527541) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 282910 + ... + 283370.

Almost surely, 2^130527540 is an apocalyptic number.

130527540 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 130527540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234846612).

130527540 is an abundant number, since it is smaller than the sum of its proper divisors (339165684).

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

130527540 is a wasteful number, since it uses less digits than its factorization.

130527540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 130527540 is about 11424.8649882613. The cubic root of 130527540 is about 507.2640105784.

The spelling of 130527540 in words is "one hundred thirty million, five hundred twenty-seven thousand, five hundred forty".