1355145120 has 384 divisors, whose sum is σ = 5557870080. Its totient is φ = 301916160.

The previous prime is 1355145107. The next prime is 1355145139. The reversal of 1355145120 is 215415531.

1355145120 is a `hidden beast` number, since 135 + 5 + 14 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1239294 + ... + 1240386.

It is an arithmetic number, because the mean of its divisors is an integer number (14473620).

Almost surely, 2^1355145120 is an apocalyptic number.

1355145120 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 1355145120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778935040).

1355145120 is an abundant number, since it is smaller than the sum of its proper divisors (4202724960).

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

1355145120 is a wasteful number, since it uses less digits than its factorization.

1355145120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 1355145120 is about 36812.2957719292. The cubic root of 1355145120 is about 1106.6117277286.

The spelling of 1355145120 in words is "one billion, three hundred fifty-five million, one hundred forty-five thousand, one hundred twenty".