145145472 has 128 divisors (see below), whose sum is σ = 405388800. Its totient is φ = 45957120.

The previous prime is 145145471. The next prime is 145145477. The reversal of 145145472 is 274541541.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (145145471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1059388 + ... + 1059524.

It is an arithmetic number, because the mean of its divisors is an integer number (3167100).

Almost surely, 2^145145472 is an apocalyptic number.

145145472 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 145145472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202694400).

145145472 is an abundant number, since it is smaller than the sum of its proper divisors (260243328).

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

145145472 is a wasteful number, since it uses less digits than its factorization.

145145472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 262 counting only the distinct ones).

The product of its digits is 22400, while the sum is 33.

The square root of 145145472 is about 12047.6334605598. The cubic root of 145145472 is about 525.5344181684.

The spelling of 145145472 in words is "one hundred forty-five million, one hundred forty-five thousand, four hundred seventy-two".