152074814085 has 12 divisors (see below), whose sum is σ = 263596344492. Its totient is φ = 81106567488.

The previous prime is 152074814057. The next prime is 152074814123. The reversal of 152074814085 is 580418470251.

152074814085 is a `hidden beast` number, since 1 + 52 + 0 + 7 + 481 + 40 + 85 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 120959970849 + 31114843236 = 347793^2 + 176394^2 .

It is not a de Polignac number, because 152074814085 - 2¹⁴ = 152074797701 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 3379440313 = 152074814085 / (1 + 5 + 2 + 0 + 7 + 4 + 8 + 1 + 4 + 0 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 152074814085.

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, 1689720112 + ... + 1689720201.

It is an arithmetic number, because the mean of its divisors is an integer number (21966362041).

Almost surely, 2^152074814085 is an apocalyptic number.

152074814085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

152074814085 is a deficient number, since it is larger than the sum of its proper divisors (111521530407).

152074814085 is a wasteful number, since it uses less digits than its factorization.

152074814085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3379440324 (or 3379440321 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 152074814085 in words is "one hundred fifty-two billion, seventy-four million, eight hundred fourteen thousand, eighty-five".