1354312872 has 256 divisors, whose sum is σ = 4307558400. Its totient is φ = 395409600.

The previous prime is 1354312853. The next prime is 1354312957. The reversal of 1354312872 is 2782134531.

1354312872 is a `hidden beast` number, since 135 + 431 + 28 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 5966023 + ... + 5966249.

It is an arithmetic number, because the mean of its divisors is an integer number (16826400).

Almost surely, 2^1354312872 is an apocalyptic number.

1354312872 is a gapful number since it is divisible by the number (12) 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 1354312872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2153779200).

1354312872 is an abundant number, since it is smaller than the sum of its proper divisors (2953245528).

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

1354312872 is a wasteful number, since it uses less digits than its factorization.

1354312872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 274 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 1354312872 is about 36800.9900953765. The cubic root of 1354312872 is about 1106.3851433863.

The spelling of 1354312872 in words is "one billion, three hundred fifty-four million, three hundred twelve thousand, eight hundred seventy-two".