1355901120 has 672 divisors, whose sum is σ = 5751502848. Its totient is φ = 297603072.

The previous prime is 1355901101. The next prime is 1355901121. The reversal of 1355901120 is 211095531.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (1355901121) 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 95 ways as a sum of consecutive naturals, for example, 25583014 + ... + 25583066.

It is an arithmetic number, because the mean of its divisors is an integer number (8558784).

Almost surely, 2^1355901120 is an apocalyptic number.

1355901120 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 1355901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2875751424).

1355901120 is an abundant number, since it is smaller than the sum of its proper divisors (4395601728).

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

1355901120 is an equidigital number, since it uses as much as digits as its factorization.

1355901120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 1355901120 is about 36822.5626484632. The cubic root of 1355901120 is about 1106.8174727149.

Adding to 1355901120 its reverse (211095531), we get a palindrome (1566996651).

The spelling of 1355901120 in words is "one billion, three hundred fifty-five million, nine hundred one thousand, one hundred twenty".