145007496 has 80 divisors (see below), whose sum is σ = 410081100. Its totient is φ = 47869056.

The previous prime is 145007461. The next prime is 145007507. The reversal of 145007496 is 694700541.

It can be written as a sum of positive squares in 2 ways, for example, as 143280900 + 1726596 = 11970^2 + 1314^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 145007496.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69606 + ... + 71658.

Almost surely, 2^145007496 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 145007496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205040550).

145007496 is an abundant number, since it is smaller than the sum of its proper divisors (265073604).

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

145007496 is a wasteful number, since it uses less digits than its factorization.

145007496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 145007496 is about 12041.9058292282. The cubic root of 145007496 is about 525.3678401725.

The spelling of 145007496 in words is "one hundred forty-five million, seven thousand, four hundred ninety-six".