1355151360 has 192 divisors, whose sum is σ = 4478423040. Its totient is φ = 349470720.

The previous prime is 1355151359. The next prime is 1355151361. The reversal of 1355151360 is 631515531.

It is an interprime number because it is at equal distance from previous prime (1355151359) and next prime (1355151361).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355151361) 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 15 ways as a sum of consecutive naturals, for example, 951609 + ... + 953031.

It is an arithmetic number, because the mean of its divisors is an integer number (23325120).

Almost surely, 2^1355151360 is an apocalyptic number.

1355151360 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 1355151360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2239211520).

1355151360 is an abundant number, since it is smaller than the sum of its proper divisors (3123271680).

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

1355151360 is a wasteful number, since it uses less digits than its factorization.

1355151360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 30.

The square root of 1355151360 is about 36812.3805261219. The cubic root of 1355151360 is about 1106.6134262544.

Adding to 1355151360 its reverse (631515531), we get a palindrome (1986666891).

The spelling of 1355151360 in words is "one billion, three hundred fifty-five million, one hundred fifty-one thousand, three hundred sixty".