145106720 has 96 divisors (see below), whose sum is σ = 387011520. Its totient is φ = 50928640.

The previous prime is 145106693. The next prime is 145106737. The reversal of 145106720 is 27601541.

145106720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 145106720.

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, 49619 + ... + 52461.

It is an arithmetic number, because the mean of its divisors is an integer number (4031370).

Almost surely, 2^145106720 is an apocalyptic number.

145106720 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 145106720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193505760).

145106720 is an abundant number, since it is smaller than the sum of its proper divisors (241904800).

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

145106720 is a wasteful number, since it uses less digits than its factorization.

145106720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2898 (or 2890 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 145106720 is about 12046.0250705368. The cubic root of 145106720 is about 525.4876436642.

The spelling of 145106720 in words is "one hundred forty-five million, one hundred six thousand, seven hundred twenty".