1387136364900 has 864 divisors, whose sum is σ = 5073625267200. Its totient is φ = 289795968000.

The previous prime is 1387136364899. The next prime is 1387136364907. The reversal of 1387136364900 is 94636317831.

It is not an unprimeable number, because it can be changed into a prime (1387136364907) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 636592011 + ... + 636594189.

Almost surely, 2^{1387136364900} is an apocalyptic number.

1387136364900 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 1387136364900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2536812633600).

1387136364900 is an abundant number, since it is smaller than the sum of its proper divisors (3686488902300).

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

1387136364900 is a wasteful number, since it uses less digits than its factorization.

1387136364900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2321 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 1387136364900 in words is "one trillion, three hundred eighty-seven billion, one hundred thirty-six million, three hundred sixty-four thousand, nine hundred".