1351605083136 has 704 divisors, whose sum is σ = 4654183919616. Its totient is φ = 338558976000.

The previous prime is 1351605083123. The next prime is 1351605083159. The reversal of 1351605083136 is 6313805061531.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 844224736 + ... + 844226336.

It is an arithmetic number, because the mean of its divisors is an integer number (6611056704).

Almost surely, 2^{1351605083136} is an apocalyptic number.

1351605083136 is a gapful number since it is divisible by the number (16) 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 1351605083136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327091959808).

1351605083136 is an abundant number, since it is smaller than the sum of its proper divisors (3302578836480).

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

1351605083136 is a wasteful number, since it uses less digits than its factorization.

1351605083136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 1351605083136 in words is "one trillion, three hundred fifty-one billion, six hundred five million, eighty-three thousand, one hundred thirty-six".