145461094272 has 256 divisors, whose sum is σ = 464214240000. Its totient is φ = 44575488000.

The previous prime is 145461094267. The next prime is 145461094279. The reversal of 145461094272 is 272490164541.

145461094272 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 610 + 9 + 4 + 27 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145461094279) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11270479 + ... + 11283377.

It is an arithmetic number, because the mean of its divisors is an integer number (1813336875).

Almost surely, 2^145461094272 is an apocalyptic number.

145461094272 is a gapful number since it is divisible by the number (12) 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 145461094272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232107120000).

145461094272 is an abundant number, since it is smaller than the sum of its proper divisors (318753145728).

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

145461094272 is a wasteful number, since it uses less digits than its factorization.

145461094272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13186 (or 13168 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 145461094272 in words is "one hundred forty-five billion, four hundred sixty-one million, ninety-four thousand, two hundred seventy-two".