614142000 has 400 divisors, whose sum is σ = 2359348992. Its totient is φ = 153446400.

The previous prime is 614141981. The next prime is 614142007. The reversal of 614142000 is 241416.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is not an unprimeable number, because it can be changed into a prime (614142007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2753889 + ... + 2754111.

Almost surely, 2^614142000 is an apocalyptic number.

614142000 is a gapful number since it is divisible by the number (60) 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 614142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179674496).

614142000 is an abundant number, since it is smaller than the sum of its proper divisors (1745206992).

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

614142000 is a wasteful number, since it uses less digits than its factorization.

614142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 614142000 is about 24781.8885478892. Note that the first 3 decimals coincide. The cubic root of 614142000 is about 850.0078430649.

Adding to 614142000 its reverse (241416), we get a palindrome (614383416).

The spelling of 614142000 in words is "six hundred fourteen million, one hundred forty-two thousand".