145402272 has 72 divisors (see below), whose sum is σ = 415065924. Its totient is φ = 48282624.

The previous prime is 145402217. The next prime is 145402273. The reversal of 145402272 is 272204541.

It can be written as a sum of positive squares in 2 ways, for example, as 133541136 + 11861136 = 11556^2 + 3444^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×145402272² = 42283641405523968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145402273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89338 + ... + 90950.

Almost surely, 2^145402272 is an apocalyptic number.

145402272 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 145402272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207532962).

145402272 is an abundant number, since it is smaller than the sum of its proper divisors (269663652).

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

145402272 is a wasteful number, since it uses less digits than its factorization.

145402272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 145402272 is about 12058.2864454283. The cubic root of 145402272 is about 525.8441711434.

The spelling of 145402272 in words is "one hundred forty-five million, four hundred two thousand, two hundred seventy-two".