1267000140 has 288 divisors, whose sum is σ = 4467101184. Its totient is φ = 261918720.

The previous prime is 1267000099. The next prime is 1267000187. The reversal of 1267000140 is 410007621.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6004635 + ... + 6004845.

It is an arithmetic number, because the mean of its divisors is an integer number (15510768).

Almost surely, 2^1267000140 is an apocalyptic number.

1267000140 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 1267000140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2233550592).

1267000140 is an abundant number, since it is smaller than the sum of its proper divisors (3200101044).

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

1267000140 is a wasteful number, since it uses less digits than its factorization.

1267000140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 1267000140 is about 35594.9454276868. The cubic root of 1267000140 is about 1082.0787979190.

Adding to 1267000140 its reverse (410007621), we get a palindrome (1677007761).

The spelling of 1267000140 in words is "one billion, two hundred sixty-seven million, one hundred forty", and thus it is an aban number.