1264136141300 has 72 divisors (see below), whose sum is σ = 2790890064312. Its totient is φ = 496875456000.

The previous prime is 1264136141291. The next prime is 1264136141357. The reversal of 1264136141300 is 31416314621.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 386294568676 + 877841572624 = 621526^2 + 936932^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6126614 + ... + 6329586.

Almost surely, 2^{1264136141300} is an apocalyptic number.

1264136141300 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 1264136141300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395445032156).

1264136141300 is an abundant number, since it is smaller than the sum of its proper divisors (1526753923012).

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

1264136141300 is a wasteful number, since it uses less digits than its factorization.

1264136141300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204069 (or 204062 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 1264136141300 in words is "one trillion, two hundred sixty-four billion, one hundred thirty-six million, one hundred forty-one thousand, three hundred".