1551409749136 has 135 divisors (see below), whose sum is σ = 3460042899201. Its totient is φ = 673437253632.

The previous prime is 1551409749133. The next prime is 1551409749139. The reversal of 1551409749136 is 6319479041551.

The square root of 1551409749136 is 1245556.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (1551409749133) and next prime (1551409749139).

It can be written as a sum of positive squares in 13 ways, for example, as 1550911566736 + 498182400 = 1245356^2 + 22320^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1551409749133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1101070800 + ... + 1101072208.

Almost surely, 2^{1551409749136} is an apocalyptic number.

1551409749136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1551409749136 is the 1245556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1551409749136

1551409749136 is an abundant number, since it is smaller than the sum of its proper divisors (1908633150065).

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

1551409749136 is an equidigital number, since it uses as much as digits as its factorization.

1551409749136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2886 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 55.

The spelling of 1551409749136 in words is "one trillion, five hundred fifty-one billion, four hundred nine million, seven hundred forty-nine thousand, one hundred thirty-six".