147996000 has 144 divisors (see below), whose sum is σ = 525365568. Its totient is φ = 39456000.

The previous prime is 147995989. The next prime is 147996001. The reversal of 147996000 is 699741.

147996000 is a `hidden beast` number, since 1 + 47 + 9 + 9 + 600 + 0 = 666.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (147996001) 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, 33945 + ... + 38055.

It is an arithmetic number, because the mean of its divisors is an integer number (3648372).

Almost surely, 2^147996000 is an apocalyptic number.

147996000 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 147996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262682784).

147996000 is an abundant number, since it is smaller than the sum of its proper divisors (377369568).

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

147996000 is a wasteful number, since it uses less digits than its factorization.

147996000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4142 (or 4121 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 147996000 is about 12165.3606604983. The cubic root of 147996000 is about 528.9524818459.

It can be divided in two parts, 1479 and 96000, that added together give a palindrome (97479).

The spelling of 147996000 in words is "one hundred forty-seven million, nine hundred ninety-six thousand".