145142946728 has 128 divisors (see below), whose sum is σ = 304716172320. Its totient is φ = 64377815040.

The previous prime is 145142946661. The next prime is 145142946743. The reversal of 145142946728 is 827649241541.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 9599688484 + 135543258244 = 97978^2 + 368162^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 145142946728.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235239476 + ... + 235240092.

Almost surely, 2^145142946728 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 145142946728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152358086160).

145142946728 is an abundant number, since it is smaller than the sum of its proper divisors (159573225592).

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

145142946728 is a wasteful number, since it uses less digits than its factorization.

145142946728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1323 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 53.

The spelling of 145142946728 in words is "one hundred forty-five billion, one hundred forty-two million, nine hundred forty-six thousand, seven hundred twenty-eight".