1285131078 has 192 divisors, whose sum is σ = 3581061120. Its totient is φ = 326177280.

The previous prime is 1285131077. The next prime is 1285131119. The reversal of 1285131078 is 8701315821.

1285131078 is a `hidden beast` number, since 128 + 513 + 10 + 7 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1285131077) 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, 13248726 + ... + 13248822.

It is an arithmetic number, because the mean of its divisors is an integer number (18651360).

Almost surely, 2^1285131078 is an apocalyptic number.

1285131078 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1285131078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790530560).

1285131078 is an abundant number, since it is smaller than the sum of its proper divisors (2295930042).

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

1285131078 is a wasteful number, since it uses less digits than its factorization.

1285131078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 1285131078 is about 35848.7249145629. The cubic root of 1285131078 is about 1087.2159340497.

Adding to 1285131078 its reverse (8701315821), we get a palindrome (9986446899).

It can be divided in two parts, 128 and 5131078, that added together give a triangular number (5131206 = T₃₂₀₃).

The spelling of 1285131078 in words is "one billion, two hundred eighty-five million, one hundred thirty-one thousand, seventy-eight".