1285952148 has 288 divisors, whose sum is σ = 4006679040. Its totient is φ = 343388160.

The previous prime is 1285952147. The next prime is 1285952177. The reversal of 1285952148 is 8412595821.

1285952148 is a `hidden beast` number, since 1 + 2 + 85 + 9 + 521 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1285952147) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7104618 + ... + 7104798.

It is an arithmetic number, because the mean of its divisors is an integer number (13912080).

Almost surely, 2^1285952148 is an apocalyptic number.

1285952148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1285952148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003339520).

1285952148 is an abundant number, since it is smaller than the sum of its proper divisors (2720726892).

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

1285952148 is a wasteful number, since it uses less digits than its factorization.

1285952148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 282 counting only the distinct ones).

The product of its digits is 230400, while the sum is 45.

The square root of 1285952148 is about 35860.1749577439. The cubic root of 1285952148 is about 1087.4474254409.

The spelling of 1285952148 in words is "one billion, two hundred eighty-five million, nine hundred fifty-two thousand, one hundred forty-eight".