65142000 has 480 divisors, whose sum is σ = 289695744. Its totient is φ = 13248000.

The previous prime is 65141987. The next prime is 65142001. The reversal of 65142000 is 24156.

It is a happy number.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65142001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1385977 + ... + 1386023.

Almost surely, 2^65142000 is an apocalyptic number.

65142000 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 65142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144847872).

65142000 is an abundant number, since it is smaller than the sum of its proper divisors (224553744).

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

65142000 is a wasteful number, since it uses less digits than its factorization.

65142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 65142000 is about 8071.0594100155. The cubic root of 65142000 is about 402.3651542168.

Adding to 65142000 its reverse (24156), we get a palindrome (65166156).

The spelling of 65142000 in words is "sixty-five million, one hundred forty-two thousand".