145428480 has 208 divisors, whose sum is σ = 518981760. Its totient is φ = 38633472.

The previous prime is 145428469. The next prime is 145428487. The reversal of 145428480 is 84824541.

It is a super-2 number, since 2×145428480² = 42298885590220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (145428487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 552829 + ... + 553091.

Almost surely, 2^145428480 is an apocalyptic number.

145428480 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 145428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259490880).

145428480 is an abundant number, since it is smaller than the sum of its proper divisors (373553280).

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

145428480 is an equidigital number, since it uses as much as digits as its factorization.

145428480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 145428480 is about 12059.3731180356. The cubic root of 145428480 is about 525.8757628004.

The spelling of 145428480 in words is "one hundred forty-five million, four hundred twenty-eight thousand, four hundred eighty".