130154140800 has 144 divisors (see below), whose sum is σ = 464419904130. Its totient is φ = 34707763200.

The previous prime is 130154140771. The next prime is 130154140817. The reversal of 130154140800 is 8041451031.

It is a happy number.

130154140800 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 541 + 40 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 118066457664 + 12087683136 = 343608^2 + 109944^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2230821 + ... + 2288420.

Almost surely, 2^130154140800 is an apocalyptic number.

130154140800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130154140800 is an abundant number, since it is smaller than the sum of its proper divisors (334265763330).

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

130154140800 is a wasteful number, since it uses less digits than its factorization.

130154140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4519271 (or 4519251 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 130154140800 its reverse (8041451031), we get a palindrome (138195591831).

It can be divided in two parts, 1301541 and 40800, that added together give a triangular number (1342341 = T₁₆₃₈).

The spelling of 130154140800 in words is "one hundred thirty billion, one hundred fifty-four million, one hundred forty thousand, eight hundred".