130454150400 has 1728 divisors, whose sum is σ = 583962624000. Its totient is φ = 28449792000.

The previous prime is 130454150389. The next prime is 130454150417. The reversal of 130454150400 is 4051454031.

It is a happy number.

130454150400 is a `hidden beast` number, since 1 + 30 + 4 + 541 + 50 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1837382365 + ... + 1837382435.

Almost surely, 2^130454150400 is an apocalyptic number.

130454150400 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 130454150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291981312000).

130454150400 is an abundant number, since it is smaller than the sum of its proper divisors (453508473600).

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

130454150400 is an equidigital number, since it uses as much as digits as its factorization.

130454150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 130454150400 in words is "one hundred thirty billion, four hundred fifty-four million, one hundred fifty thousand, four hundred".