1351126656 has 288 divisors, whose sum is σ = 4444221600. Its totient is φ = 408291840.

The previous prime is 1351126639. The next prime is 1351126657. The reversal of 1351126656 is 6566211531.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1351126656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1351126657) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3763405 + ... + 3763763.

It is an arithmetic number, because the mean of its divisors is an integer number (15431325).

Almost surely, 2^1351126656 is an apocalyptic number.

1351126656 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 1351126656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2222110800).

1351126656 is an abundant number, since it is smaller than the sum of its proper divisors (3093094944).

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

1351126656 is an equidigital number, since it uses as much as digits as its factorization.

1351126656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 375 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 1351126656 is about 36757.6747904434. The cubic root of 1351126656 is about 1105.5168186347.

The spelling of 1351126656 in words is "one billion, three hundred fifty-one million, one hundred twenty-six thousand, six hundred fifty-six".