1014138000 has 240 divisors, whose sum is σ = 3582973056. Its totient is φ = 267321600.

The previous prime is 1014137983. The next prime is 1014138017. The reversal of 1014138000 is 8314101.

It is an interprime number because it is at equal distance from previous prime (1014137983) and next prime (1014138017).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1853727 + ... + 1854273.

Almost surely, 2^1014138000 is an apocalyptic number.

1014138000 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 1014138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791486528).

1014138000 is an abundant number, since it is smaller than the sum of its proper divisors (2568835056).

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

1014138000 is a wasteful number, since it uses less digits than its factorization.

1014138000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1014138000 is about 31845.5334387729. The cubic root of 1014138000 is about 1004.6906302534.

The spelling of 1014138000 in words is "one billion, fourteen million, one hundred thirty-eight thousand".