130635540 has 144 divisors (see below), whose sum is σ = 456019200. Its totient is φ = 29652480.

The previous prime is 130635539. The next prime is 130635577. The reversal of 130635540 is 45536031.

130635540 is a `hidden beast` number, since 1 + 306 + 355 + 4 + 0 = 666.

It is a super-2 number, since 2×130635540² = 34131288622183200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250480 + ... + 251000.

It is an arithmetic number, because the mean of its divisors is an integer number (3166800).

Almost surely, 2^130635540 is an apocalyptic number.

130635540 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 130635540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228009600).

130635540 is an abundant number, since it is smaller than the sum of its proper divisors (325383660).

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

130635540 is a wasteful number, since it uses less digits than its factorization.

130635540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 130635540 is about 11429.5905438471. The cubic root of 130635540 is about 507.4038773843.

The spelling of 130635540 in words is "one hundred thirty million, six hundred thirty-five thousand, five hundred forty".