130187101440 has 288 divisors, whose sum is σ = 454699671552. Its totient is φ = 31482880000.

The previous prime is 130187101439. The next prime is 130187101453. The reversal of 130187101440 is 44101781031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 130187101398 and 130187101407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18201865 + ... + 18209015.

It is an arithmetic number, because the mean of its divisors is an integer number (1578818304).

Almost surely, 2^130187101440 is an apocalyptic number.

130187101440 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 130187101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227349835776).

130187101440 is an abundant number, since it is smaller than the sum of its proper divisors (324512570112).

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

130187101440 is a wasteful number, since it uses less digits than its factorization.

130187101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7617 (or 7603 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

Adding to 130187101440 its reverse (44101781031), we get a palindrome (174288882471).

Subtracting from 130187101440 its reverse (44101781031), we obtain a square (86085320409 = 293403²).

The spelling of 130187101440 in words is "one hundred thirty billion, one hundred eighty-seven million, one hundred one thousand, four hundred forty".