152857294421209 has 27 divisors (see below), whose sum is σ = 187666774476597. Its totient is φ = 124123385018808.

The previous prime is 152857294421207. The next prime is 152857294421233. The reversal of 152857294421209 is 902124492758251.

The square root of 152857294421209 is 12363547.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 152857294421209 - 2¹ = 152857294421207 is a prime.

It is not an unprimeable number, because it can be changed into a prime (152857294421201) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1644305272 + ... + 1644398230.

It is an arithmetic number, because the mean of its divisors is an integer number (6950621276911).

Almost surely, 2^{152857294421209} is an apocalyptic number.

152857294421209 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

152857294421209 is the 12363547-th square number.

152857294421209 is the 6181774-th centered octagonal number.

It is an amenable number.

152857294421209 is a deficient number, since it is larger than the sum of its proper divisors (34809480055388).

152857294421209 is an frugal number, since it uses more digits than its factorization.

152857294421209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185970 (or 92985 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 61.

The spelling of 152857294421209 in words is "one hundred fifty-two trillion, eight hundred fifty-seven billion, two hundred ninety-four million, four hundred twenty-one thousand, two hundred nine".