142733136 has 160 divisors (see below), whose sum is σ = 465470208. Its totient is φ = 36679680.

The previous prime is 142733119. The next prime is 142733137. The reversal of 142733136 is 631337241.

It is a super-2 number, since 2×142733136² = 40745496224788992, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142733137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178690 + ... + 179486.

Almost surely, 2^142733136 is an apocalyptic number.

142733136 is a gapful number since it is divisible by the number (16) 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 142733136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232735104).

142733136 is an abundant number, since it is smaller than the sum of its proper divisors (322737072).

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

142733136 is a wasteful number, since it uses less digits than its factorization.

142733136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 863 counting only the distinct ones).

The product of its digits is 9072, while the sum is 30.

The square root of 142733136 is about 11947.0973880688. The cubic root of 142733136 is about 522.6066551199.

The spelling of 142733136 in words is "one hundred forty-two million, seven hundred thirty-three thousand, one hundred thirty-six".