142633764 has 192 divisors, whose sum is σ = 475668480. Its totient is φ = 35925120.

The previous prime is 142633721. The next prime is 142633769. The reversal of 142633764 is 467336241.

It is a happy number.

142633764 is a `hidden beast` number, since 14 + 2 + 633 + 7 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (142633769) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 225729 + ... + 226359.

It is an arithmetic number, because the mean of its divisors is an integer number (2477440).

Almost surely, 2^142633764 is an apocalyptic number.

142633764 is a gapful number since it is divisible by the number (14) 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 142633764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237834240).

142633764 is an abundant number, since it is smaller than the sum of its proper divisors (333034716).

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

142633764 is a wasteful number, since it uses less digits than its factorization.

142633764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 679 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 142633764 is about 11942.9378295292. The cubic root of 142633764 is about 522.4853459257.

The spelling of 142633764 in words is "one hundred forty-two million, six hundred thirty-three thousand, seven hundred sixty-four".