147531384000 has 2688 divisors, whose sum is σ = 747695370240. Its totient is φ = 26763264000.

The previous prime is 147531383963. The next prime is 147531384031. The reversal of 147531384000 is 483135741.

It is a happy number.

147531384000 is a `hidden beast` number, since 1 + 47 + 531 + 3 + 84 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1657655956 + ... + 1657656044.

It is an arithmetic number, because the mean of its divisors is an integer number (278160480).

Almost surely, 2^147531384000 is an apocalyptic number.

147531384000 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 147531384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373847685120).

147531384000 is an abundant number, since it is smaller than the sum of its proper divisors (600163986240).

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

147531384000 is a wasteful number, since it uses less digits than its factorization.

147531384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 147531384000 in words is "one hundred forty-seven billion, five hundred thirty-one million, three hundred eighty-four thousand".