146230272000 has 1120 divisors, whose sum is σ = 571485698784. Its totient is φ = 37158912000.

The previous prime is 146230271927. The next prime is 146230272011. The reversal of 146230272000 is 272032641.

146230272000 is a `hidden beast` number, since 14 + 623 + 0 + 2 + 7 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3400703979 + ... + 3400704021.

Almost surely, 2^146230272000 is an apocalyptic number.

146230272000 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 146230272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285742849392).

146230272000 is an abundant number, since it is smaller than the sum of its proper divisors (425255426784).

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

146230272000 is an frugal number, since it uses more digits than its factorization.

146230272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 146230272000 in words is "one hundred forty-six billion, two hundred thirty million, two hundred seventy-two thousand".