130541400 has 288 divisors, whose sum is σ = 504878400. Its totient is φ = 29894400.

The previous prime is 130541377. The next prime is 130541429. The reversal of 130541400 is 4145031.

It is a happy number.

It is a super-2 number, since 2×130541400² = 34082114227920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 376027 + ... + 376373.

It is an arithmetic number, because the mean of its divisors is an integer number (1753050).

Almost surely, 2^130541400 is an apocalyptic number.

130541400 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 130541400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252439200).

130541400 is an abundant number, since it is smaller than the sum of its proper divisors (374337000).

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

130541400 is a wasteful number, since it uses less digits than its factorization.

130541400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 130541400 is about 11425.4715438795. The cubic root of 130541400 is about 507.2819644660.

Adding to 130541400 its reverse (4145031), we get a palindrome (134686431).

The spelling of 130541400 in words is "one hundred thirty million, five hundred forty-one thousand, four hundred".