145832280000 has 280 divisors, whose sum is σ = 525992628480. Its totient is φ = 35352960000.

The previous prime is 145832279977. The next prime is 145832280017. The reversal of 145832280000 is 82238541.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1264761 + ... + 1375239.

Almost surely, 2^145832280000 is an apocalyptic number.

145832280000 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 145832280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262996314240).

145832280000 is an abundant number, since it is smaller than the sum of its proper divisors (380160348480).

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

145832280000 is a wasteful number, since it uses less digits than its factorization.

145832280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110525 (or 110500 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 145832280000 in words is "one hundred forty-five billion, eight hundred thirty-two million, two hundred eighty thousand".