145420080 has 160 divisors (see below), whose sum is σ = 490635264. Its totient is φ = 35417088.

The previous prime is 145420069. The next prime is 145420111. The reversal of 145420080 is 80024541.

145420080 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145420080² = 42293999334412800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 145420080.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396057 + ... + 396423.

Almost surely, 2^145420080 is an apocalyptic number.

145420080 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 145420080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245317632).

145420080 is an abundant number, since it is smaller than the sum of its proper divisors (345215184).

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

145420080 is a wasteful number, since it uses less digits than its factorization.

145420080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 145420080 is about 12059.0248361963. The cubic root of 145420080 is about 525.8656376826.

The spelling of 145420080 in words is "one hundred forty-five million, four hundred twenty thousand, eighty".