842136000 has 112 divisors (see below), whose sum is σ = 2780812320. Its totient is φ = 224563200.

The previous prime is 842135981. The next prime is 842136013. The reversal of 842136000 is 631248.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6456 + ... + 41544.

Almost surely, 2^842136000 is an apocalyptic number.

842136000 is a gapful number since it is divisible by the number (80) 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 842136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390406160).

842136000 is an abundant number, since it is smaller than the sum of its proper divisors (1938676320).

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

842136000 is a wasteful number, since it uses less digits than its factorization.

842136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35119 (or 35099 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 842136000 is about 29019.5795972306. The cubic root of 842136000 is about 944.3378805820.

Adding to 842136000 its reverse (631248), we get a palindrome (842767248).

The spelling of 842136000 in words is "eight hundred forty-two million, one hundred thirty-six thousand".