145106080 has 192 divisors, whose sum is σ = 421521408. Its totient is φ = 46126080.

The previous prime is 145106077. The next prime is 145106081. The reversal of 145106080 is 80601541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145106081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1107615 + ... + 1107745.

It is an arithmetic number, because the mean of its divisors is an integer number (2195424).

Almost surely, 2^145106080 is an apocalyptic number.

145106080 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 145106080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210760704).

145106080 is an abundant number, since it is smaller than the sum of its proper divisors (276415328).

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

145106080 is a wasteful number, since it uses less digits than its factorization.

145106080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 145106080 is about 12045.9985057279. The cubic root of 145106080 is about 525.4868711004.

The spelling of 145106080 in words is "one hundred forty-five million, one hundred six thousand, eighty".