1355185104 has 160 divisors (see below), whose sum is σ = 4324556544. Its totient is φ = 356106240.

The previous prime is 1355185103. The next prime is 1355185129. The reversal of 1355185104 is 4015815531.

It is a happy number.

It is a super-2 number, since 2×1355185104² = 3673053332206981632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355185103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2013312 + ... + 2013984.

Almost surely, 2^1355185104 is an apocalyptic number.

1355185104 is a gapful number since it is divisible by the number (14) 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 1355185104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2162278272).

1355185104 is an abundant number, since it is smaller than the sum of its proper divisors (2969371440).

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

1355185104 is a wasteful number, since it uses less digits than its factorization.

1355185104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 33.

The square root of 1355185104 is about 36812.8388473369. The cubic root of 1355185104 is about 1106.6226112686.

The spelling of 1355185104 in words is "one billion, three hundred fifty-five million, one hundred eighty-five thousand, one hundred four".