145776384 has 216 divisors, whose sum is σ = 470218112. Its totient is φ = 43130880.

The previous prime is 145776349. The next prime is 145776391. The reversal of 145776384 is 483677541.

145776384 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 7 + 638 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 928434 + ... + 928590.

Almost surely, 2^145776384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145776384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235109056).

145776384 is an abundant number, since it is smaller than the sum of its proper divisors (324441728).

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

145776384 is a wasteful number, since it uses less digits than its factorization.

145776384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 206 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 145776384 is about 12073.7891318343. The cubic root of 145776384 is about 526.2947742233.

It can be divided in two parts, 1457 and 76384, that added together give a square (77841 = 279²).

The spelling of 145776384 in words is "one hundred forty-five million, seven hundred seventy-six thousand, three hundred eighty-four".