1353458106 has 320 divisors, whose sum is σ = 4178643840. Its totient is φ = 320060160.

The previous prime is 1353458063. The next prime is 1353458129. The reversal of 1353458106 is 6018543531.

1353458106 is a `hidden beast` number, since 13 + 534 + 5 + 8 + 106 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18540486 + ... + 18540558.

It is an arithmetic number, because the mean of its divisors is an integer number (13058262).

Almost surely, 2^1353458106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353458106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089321920).

1353458106 is an abundant number, since it is smaller than the sum of its proper divisors (2825185734).

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

1353458106 is a wasteful number, since it uses less digits than its factorization.

1353458106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1353458106 is about 36789.3749063503. The cubic root of 1353458106 is about 1106.1523317393.

The spelling of 1353458106 in words is "one billion, three hundred fifty-three million, four hundred fifty-eight thousand, one hundred six".