145009956 has 144 divisors (see below), whose sum is σ = 432410496. Its totient is φ = 36827136.

The previous prime is 145009939. The next prime is 145009967. The reversal of 145009956 is 659900541.

145009956 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1494900 + ... + 1494996.

Almost surely, 2^145009956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145009956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216205248).

145009956 is an abundant number, since it is smaller than the sum of its proper divisors (287400540).

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

145009956 is a wasteful number, since it uses less digits than its factorization.

145009956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The square root of 145009956 is about 12042.0079720950. The cubic root of 145009956 is about 525.3708110479.

The spelling of 145009956 in words is "one hundred forty-five million, nine thousand, nine hundred fifty-six".