147692328000 has 448 divisors, whose sum is σ = 590145274368. Its totient is φ = 31771852800.

The previous prime is 147692327987. The next prime is 147692328011. The reversal of 147692328000 is 823296741.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2830144 + ... + 2881856.

Almost surely, 2^147692328000 is an apocalyptic number.

147692328000 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 147692328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295072637184).

147692328000 is an abundant number, since it is smaller than the sum of its proper divisors (442452946368).

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

147692328000 is a wasteful number, since it uses less digits than its factorization.

147692328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51767 (or 51747 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 147692328000 in words is "one hundred forty-seven billion, six hundred ninety-two million, three hundred twenty-eight thousand".