145102080 has 144 divisors (see below), whose sum is σ = 479767680. Its totient is φ = 37330944.

The previous prime is 145101991. The next prime is 145102099. The reversal of 145102080 is 80201541.

It is a super-2 number, since 2×145102080² = 42109227240652800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110709 + ... + 112011.

It is an arithmetic number, because the mean of its divisors is an integer number (3331720).

Almost surely, 2^145102080 is an apocalyptic number.

145102080 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 145102080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239883840).

145102080 is an abundant number, since it is smaller than the sum of its proper divisors (334665600).

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

145102080 is a wasteful number, since it uses less digits than its factorization.

145102080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 145102080 is about 12045.8324743456. The cubic root of 145102080 is about 525.4820425253.

The spelling of 145102080 in words is "one hundred forty-five million, one hundred two thousand, eighty".