1378751000 has 256 divisors, whose sum is σ = 3815061120. Its totient is φ = 460800000.

The previous prime is 1378750987. The next prime is 1378751021. The reversal of 1378751000 is 1578731.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13650950 + ... + 13651050.

Almost surely, 2^1378751000 is an apocalyptic number.

1378751000 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 1378751000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907530560).

1378751000 is an abundant number, since it is smaller than the sum of its proper divisors (2436310120).

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

1378751000 is a wasteful number, since it uses less digits than its factorization.

1378751000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 32.

The square root of 1378751000 is about 37131.5364616117. The cubic root of 1378751000 is about 1113.0002967999. Note that the first 3 decimals are identical.

The spelling of 1378751000 in words is "one billion, three hundred seventy-eight million, seven hundred fifty-one thousand".