145052928 has 108 divisors (see below), whose sum is σ = 421936788. Its totient is φ = 47923200.

The previous prime is 145052917. The next prime is 145052939. The reversal of 145052928 is 829250541.

It is an interprime number because it is at equal distance from previous prime (145052917) and next prime (145052939).

It can be written as a sum of positive squares in 2 ways, for example, as 105513984 + 39538944 = 10272^2 + 6288^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 145052892 and 145052901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 361528 + ... + 361928.

Almost surely, 2^145052928 is an apocalyptic number.

145052928 is a gapful number since it is divisible by the number (18) 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 145052928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210968394).

145052928 is an abundant number, since it is smaller than the sum of its proper divisors (276883860).

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

145052928 is a wasteful number, since it uses less digits than its factorization.

145052928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 145052928 is about 12043.7920938548. The cubic root of 145052928 is about 525.4227017488.

The spelling of 145052928 in words is "one hundred forty-five million, fifty-two thousand, nine hundred twenty-eight".