1314549000 has 160 divisors (see below), whose sum is σ = 4595362200. Its totient is φ = 350524800.

The previous prime is 1314548959. The next prime is 1314549013. The reversal of 1314549000 is 9454131.

1314549000 is a `hidden beast` number, since 131 + 45 + 490 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 789497604 + 525051396 = 28098^2 + 22914^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 72886 + ... + 89114.

Almost surely, 2^1314549000 is an apocalyptic number.

1314549000 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 1314549000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2297681100).

1314549000 is an abundant number, since it is smaller than the sum of its proper divisors (3280813200).

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

1314549000 is a wasteful number, since it uses less digits than its factorization.

1314549000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16262 (or 16239 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1314549000 is about 36256.7097238566. The cubic root of 1314549000 is about 1095.4492433247.

The spelling of 1314549000 in words is "one billion, three hundred fourteen million, five hundred forty-nine thousand".