145279872 has 128 divisors (see below), whose sum is σ = 433459200. Its totient is φ = 47900160.

The previous prime is 145279853. The next prime is 145279873. The reversal of 145279872 is 278972541.

It is a happy number.

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

It is a super-2 number, since 2×145279872² = 42212482416672768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145279873) 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, 438747 + ... + 439077.

It is an arithmetic number, because the mean of its divisors is an integer number (3386400).

Almost surely, 2^145279872 is an apocalyptic number.

145279872 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 145279872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216729600).

145279872 is an abundant number, since it is smaller than the sum of its proper divisors (288179328).

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

145279872 is a wasteful number, since it uses less digits than its factorization.

145279872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 463 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 145279872 is about 12053.2100288678. The cubic root of 145279872 is about 525.6965774033.

The spelling of 145279872 in words is "one hundred forty-five million, two hundred seventy-nine thousand, eight hundred seventy-two".