149287245875856 has 405 divisors, whose sum is σ = 463048139227401. Its totient is φ = 44865656352000.

The previous prime is 149287245875827. The next prime is 149287245875863. The reversal of 149287245875856 is 658578542782941.

The square root of 149287245875856 is 12218316.

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

149287245875856 is a `hidden beast` number, since 1 + 4 + 9 + 2 + 8 + 7 + 24 + 5 + 8 + 7 + 585 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 486673664400 + 148800572211456 = 697620^2 + 12198384^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 243535474206 + ... + 243535474818.

Almost surely, 2^{149287245875856} is an apocalyptic number.

149287245875856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

149287245875856 is the 12218316-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149287245875856

149287245875856 is an abundant number, since it is smaller than the sum of its proper divisors (313760893351545).

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

149287245875856 is an equidigital number, since it uses as much as digits as its factorization.

149287245875856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 780 counting only the distinct ones).

The product of its digits is 10838016000, while the sum is 81.

The spelling of 149287245875856 in words is "one hundred forty-nine trillion, two hundred eighty-seven billion, two hundred forty-five million, eight hundred seventy-five thousand, eight hundred fifty-six".