142661000 has 64 divisors (see below), whose sum is σ = 335612160. Its totient is φ = 56760000.

The previous prime is 142660967. The next prime is 142661003. The reversal of 142661000 is 166241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (142661003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330785 + ... + 331215.

It is an arithmetic number, because the mean of its divisors is an integer number (5243940).

Almost surely, 2^142661000 is an apocalyptic number.

142661000 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 142661000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167806080).

142661000 is an abundant number, since it is smaller than the sum of its proper divisors (192951160).

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

142661000 is a wasteful number, since it uses less digits than its factorization.

142661000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 142661000 is about 11944.0780305556. The cubic root of 142661000 is about 522.5186001025.

It can be divided in two parts, 1426 and 61000, that added together give a palindrome (62426).

The spelling of 142661000 in words is "one hundred forty-two million, six hundred sixty-one thousand".