145106141184 has 225 divisors, whose sum is σ = 433154149779. Its totient is φ = 46808432640.

The previous prime is 145106141129. The next prime is 145106141231. The reversal of 145106141184 is 481141601541.

The square root of 145106141184 is 380928.

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

145106141184 is a `hidden beast` number, since 1 + 4 + 510 + 61 + 4 + 1 + 1 + 84 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4680843249 + ... + 4680843279.

Almost surely, 2^145106141184 is an apocalyptic number.

145106141184 is the 380928-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145106141184

145106141184 is an abundant number, since it is smaller than the sum of its proper divisors (288048008595).

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

145106141184 is an frugal number, since it uses more digits than its factorization.

145106141184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

Multiplying 145106141184 by its sum of digits (36), we get a square (5223821082624 = 2285568²).

145106141184 divided by its sum of digits (36) gives a square (4030726144 = 63488²).

The spelling of 145106141184 in words is "one hundred forty-five billion, one hundred six million, one hundred forty-one thousand, one hundred eighty-four".