152928945 has 48 divisors (see below), whose sum is σ = 294439680. Its totient is φ = 75276864.

The previous prime is 152928917. The next prime is 152928947. The reversal of 152928945 is 549829251.

It is a happy number.

152928945 is a `hidden beast` number, since 1 + 529 + 2 + 89 + 45 = 666.

It is not a de Polignac number, because 152928945 - 2¹⁷ = 152797873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 152928945.

It is not an unprimeable number, because it can be changed into a prime (152928947) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19464 + ... + 26166.

It is an arithmetic number, because the mean of its divisors is an integer number (6134160).

Almost surely, 2^152928945 is an apocalyptic number.

152928945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

152928945 is a deficient number, since it is larger than the sum of its proper divisors (141510735).

152928945 is a wasteful number, since it uses less digits than its factorization.

152928945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6743 (or 6724 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 152928945 is about 12366.4443151619. Note that the first 3 decimals coincide. The cubic root of 152928945 is about 534.7653147163.

The spelling of 152928945 in words is "one hundred fifty-two million, nine hundred twenty-eight thousand, nine hundred forty-five".