1354242000 has 320 divisors, whose sum is σ = 4647202560. Its totient is φ = 338688000.

The previous prime is 1354241923. The next prime is 1354242007. The reversal of 1354242000 is 2424531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1354242007) by changing a digit.

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, 7481910 + ... + 7482090.

It is an arithmetic number, because the mean of its divisors is an integer number (14522508).

Almost surely, 2^1354242000 is an apocalyptic number.

1354242000 is a gapful number since it is divisible by the number (10) 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 1354242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2323601280).

1354242000 is an abundant number, since it is smaller than the sum of its proper divisors (3292960560).

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

1354242000 is a wasteful number, since it uses less digits than its factorization.

1354242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 1354242000 is about 36800.0271739030. The cubic root of 1354242000 is about 1106.3658437849.

Adding to 1354242000 its reverse (2424531), we get a palindrome (1356666531).

The spelling of 1354242000 in words is "one billion, three hundred fifty-four million, two hundred forty-two thousand".