1354755248 has 160 divisors (see below), whose sum is σ = 3394068480. Its totient is φ = 508596480.

The previous prime is 1354755187. The next prime is 1354755263. The reversal of 1354755248 is 8425574531.

It is a Cunningham number, because it is equal to 36807²-1.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 1354755199 and 1354755208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5668313 + ... + 5668551.

It is an arithmetic number, because the mean of its divisors is an integer number (21212928).

Almost surely, 2^1354755248 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 1354755248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697034240).

1354755248 is an abundant number, since it is smaller than the sum of its proper divisors (2039313232).

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

1354755248 is a wasteful number, since it uses less digits than its factorization.

1354755248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 409 counting only the distinct ones).

The product of its digits is 672000, while the sum is 44.

The square root of 1354755248 is about 36806.9999864156. Note that the first 4 decimals coincide. The cubic root of 1354755248 is about 1106.5055943701.

The spelling of 1354755248 in words is "one billion, three hundred fifty-four million, seven hundred fifty-five thousand, two hundred forty-eight".