145414130400 has 864 divisors, whose sum is σ = 659993757696. Its totient is φ = 29237760000.

The previous prime is 145414130359. The next prime is 145414130401. The reversal of 145414130400 is 4031414541.

145414130400 is a `hidden beast` number, since 1 + 454 + 141 + 30 + 40 + 0 = 666.

145414130400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145414130400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145414130401) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 17182170 + ... + 17190630.

It is an arithmetic number, because the mean of its divisors is an integer number (763881664).

Almost surely, 2^145414130400 is an apocalyptic number.

145414130400 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 145414130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329996878848).

145414130400 is an abundant number, since it is smaller than the sum of its proper divisors (514579627296).

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

145414130400 is a wasteful number, since it uses less digits than its factorization.

145414130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8536 (or 8520 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 145414130400 its reverse (4031414541), we get a palindrome (149445544941).

The spelling of 145414130400 in words is "one hundred forty-five billion, four hundred fourteen million, one hundred thirty thousand, four hundred".