145481216400 has 675 divisors, whose sum is σ = 568862815059. Its totient is φ = 35591063040.

The previous prime is 145481216389. The next prime is 145481216437. The reversal of 145481216400 is 4612184541.

The square root of 145481216400 is 381420.

It is a perfect power (a square), and thus also a powerful number.

145481216400 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 8 + 1 + 2 + 1 + 640 + 0 = 666.

145481216400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 37497998736 + 107983217664 = 193644^2 + 328608^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 134 ways as a sum of consecutive naturals, for example, 892522719 + ... + 892522881.

Almost surely, 2^145481216400 is an apocalyptic number.

145481216400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145481216400 is the 381420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145481216400

145481216400 is an abundant number, since it is smaller than the sum of its proper divisors (423381598659).

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

145481216400 is a wasteful number, since it uses less digits than its factorization.

145481216400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Multiplying 145481216400 by its sum of digits (36), we get a square (5237323790400 = 2288520²).

145481216400 divided by its sum of digits (36) gives a square (4041144900 = 63570²).

The spelling of 145481216400 in words is "one hundred forty-five billion, four hundred eighty-one million, two hundred sixteen thousand, four hundred".