147292992000 has 2240 divisors, whose sum is σ = 703300485888. Its totient is φ = 29859840000.

The previous prime is 147292991971. The next prime is 147292992037. The reversal of 147292992000 is 299292741.

147292992000 is a `hidden beast` number, since 1 + 472 + 92 + 9 + 92 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3592511980 + ... + 3592512020.

Almost surely, 2^147292992000 is an apocalyptic number.

147292992000 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 147292992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351650242944).

147292992000 is an abundant number, since it is smaller than the sum of its proper divisors (556007493888).

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

147292992000 is an frugal number, since it uses more digits than its factorization.

147292992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 147292992000 in words is "one hundred forty-seven billion, two hundred ninety-two million, nine hundred ninety-two thousand".