145272480 has 192 divisors, whose sum is σ = 510572160. Its totient is φ = 34504704.

The previous prime is 145272473. The next prime is 145272487. The reversal of 145272480 is 84272541.

It is an interprime number because it is at equal distance from previous prime (145272473) and next prime (145272487).

It is a super-2 number, since 2×145272480² = 42208186890700800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145272487) 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 31 ways as a sum of consecutive naturals, for example, 154572 + ... + 155508.

It is an arithmetic number, because the mean of its divisors is an integer number (2659230).

Almost surely, 2^145272480 is an apocalyptic number.

145272480 is a gapful number since it is divisible by the number (10) 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 145272480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255286080).

145272480 is an abundant number, since it is smaller than the sum of its proper divisors (365299680).

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

145272480 is a wasteful number, since it uses less digits than its factorization.

145272480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 145272480 is about 12052.9033846621. The cubic root of 145272480 is about 525.6876612450.

The spelling of 145272480 in words is "one hundred forty-five million, two hundred seventy-two thousand, four hundred eighty".