1353146732 has 48 divisors (see below), whose sum is σ = 2772188160. Its totient is φ = 565875072.

The previous prime is 1353146719. The next prime is 1353146777. The reversal of 1353146732 is 2376413531.

It is a junction number, because it is equal to n+sod(n) for n = 1353146692 and 1353146701.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 497408 + ... + 500120.

It is an arithmetic number, because the mean of its divisors is an integer number (57753920).

Almost surely, 2^1353146732 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353146732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386094080).

1353146732 is an abundant number, since it is smaller than the sum of its proper divisors (1419041428).

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

1353146732 is a wasteful number, since it uses less digits than its factorization.

1353146732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3150 (or 3148 counting only the distinct ones).

The product of its digits is 45360, while the sum is 35.

The square root of 1353146732 is about 36785.1428160881. The cubic root of 1353146732 is about 1106.0674987990.

The spelling of 1353146732 in words is "one billion, three hundred fifty-three million, one hundred forty-six thousand, seven hundred thirty-two".