1355397120 has 576 divisors, whose sum is σ = 5887365120. Its totient is φ = 280166400.

The previous prime is 1355397103. The next prime is 1355397149. The reversal of 1355397120 is 217935531.

1355397120 is a `hidden beast` number, since 1 + 3 + 553 + 97 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7096225 + ... + 7096415.

It is an arithmetic number, because the mean of its divisors is an integer number (10221120).

Almost surely, 2^1355397120 is an apocalyptic number.

1355397120 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 1355397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2943682560).

1355397120 is an abundant number, since it is smaller than the sum of its proper divisors (4531968000).

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

1355397120 is a wasteful number, since it uses less digits than its factorization.

1355397120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 1355397120 is about 36815.7183822345. The cubic root of 1355397120 is about 1106.6803178910.

It can be divided in two parts, 135 and 5397120, that added together give a triangular number (5397255 = T₃₂₈₅).

The spelling of 1355397120 in words is "one billion, three hundred fifty-five million, three hundred ninety-seven thousand, one hundred twenty".