147642336 has 144 divisors (see below), whose sum is σ = 452874240. Its totient is φ = 45492480.

The previous prime is 147642317. The next prime is 147642337. The reversal of 147642336 is 633246741.

It is a happy number.

147642336 is a `hidden beast` number, since 1 + 4 + 7 + 642 + 3 + 3 + 6 = 666.

147642336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 147642336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147642337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204985 + ... + 205703.

It is an arithmetic number, because the mean of its divisors is an integer number (3144960).

Almost surely, 2^147642336 is an apocalyptic number.

147642336 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 147642336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226437120).

147642336 is an abundant number, since it is smaller than the sum of its proper divisors (305231904).

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

147642336 is a wasteful number, since it uses less digits than its factorization.

147642336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 778 counting only the distinct ones).

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

The square root of 147642336 is about 12150.8162688768. The cubic root of 147642336 is about 528.5308022899.

The spelling of 147642336 in words is "one hundred forty-seven million, six hundred forty-two thousand, three hundred thirty-six".