130151142400500 has 768 divisors, whose sum is σ = 464461719321600. Its totient is φ = 31264463462400.

The previous prime is 130151142400481. The next prime is 130151142400537. The reversal of 130151142400500 is 5004241151031.

130151142400500 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 5 + 114 + 2 + 40 + 0 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9274641484 + ... + 9274655516.

It is an arithmetic number, because the mean of its divisors is an integer number (604767863700).

Almost surely, 2^{130151142400500} is an apocalyptic number.

130151142400500 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 130151142400500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232230859660800).

130151142400500 is an abundant number, since it is smaller than the sum of its proper divisors (334310576921100).

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

130151142400500 is a wasteful number, since it uses less digits than its factorization.

130151142400500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15346 (or 15328 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 130151142400500 its reverse (5004241151031), we get a palindrome (135155383551531).

The spelling of 130151142400500 in words is "one hundred thirty trillion, one hundred fifty-one billion, one hundred forty-two million, four hundred thousand, five hundred".