152979345 has 48 divisors (see below), whose sum is σ = 282102912. Its totient is φ = 76423680.

The previous prime is 152979319. The next prime is 152979353. The reversal of 152979345 is 543979251.

It is a happy number.

152979345 is a `hidden beast` number, since 15 + 297 + 9 + 345 = 666.

It is not a de Polignac number, because 152979345 - 2¹⁶ = 152913809 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 152979345.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237594 + ... + 238236.

It is an arithmetic number, because the mean of its divisors is an integer number (5877144).

Almost surely, 2^152979345 is an apocalyptic number.

152979345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

152979345 is a deficient number, since it is larger than the sum of its proper divisors (129123567).

152979345 is a wasteful number, since it uses less digits than its factorization.

152979345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 979 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 152979345 is about 12368.4819197830. The cubic root of 152979345 is about 534.8240548752.

It can be divided in two parts, 15297 and 9345, that added together give a palindrome (24642).

The spelling of 152979345 in words is "one hundred fifty-two million, nine hundred seventy-nine thousand, three hundred forty-five".