1350837000 has 448 divisors, whose sum is σ = 5064087600. Its totient is φ = 335923200.

The previous prime is 1350836999. The next prime is 1350837013. The reversal of 1350837000 is 7380531.

It can be written as a sum of positive squares in 8 ways, for example, as 233539524 + 1117297476 = 15282^2 + 33426^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 12392946 + ... + 12393054.

Almost surely, 2^1350837000 is an apocalyptic number.

1350837000 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 1350837000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532043800).

1350837000 is an abundant number, since it is smaller than the sum of its proper divisors (3713250600).

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

1350837000 is a wasteful number, since it uses less digits than its factorization.

1350837000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1350837000 is about 36753.7345041290. The cubic root of 1350837000 is about 1105.4378123566.

The spelling of 1350837000 in words is "one billion, three hundred fifty million, eight hundred thirty-seven thousand".