1351969920 has 256 divisors, whose sum is σ = 5472748800. Its totient is φ = 308994048.

The previous prime is 1351969919. The next prime is 1351969921. The reversal of 1351969920 is 299691531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1351969919) and next prime (1351969921).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1351969921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115372 + ... + 126548.

It is an arithmetic number, because the mean of its divisors is an integer number (21377925).

Almost surely, 2^1351969920 is an apocalyptic number.

1351969920 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 1351969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736374400).

1351969920 is an abundant number, since it is smaller than the sum of its proper divisors (4120778880).

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

1351969920 is a wasteful number, since it uses less digits than its factorization.

1351969920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11212 (or 11194 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 1351969920 is about 36769.1435853488. The cubic root of 1351969920 is about 1105.7467622042.

The spelling of 1351969920 in words is "one billion, three hundred fifty-one million, nine hundred sixty-nine thousand, nine hundred twenty".