1268136000 has 560 divisors, whose sum is σ = 4986284160. Its totient is φ = 317260800.

The previous prime is 1268135987. The next prime is 1268136007. The reversal of 1268136000 is 6318621.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1268136007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12311949 + ... + 12312051.

Almost surely, 2^1268136000 is an apocalyptic number.

1268136000 is a gapful number since it is divisible by the number (10) 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 1268136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493142080).

1268136000 is an abundant number, since it is smaller than the sum of its proper divisors (3718148160).

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

1268136000 is a wasteful number, since it uses less digits than its factorization.

1268136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1268136000 is about 35610.8972085793. The cubic root of 1268136000 is about 1082.4020609496.

The spelling of 1268136000 in words is "one billion, two hundred sixty-eight million, one hundred thirty-six thousand".