145800065920 has 384 divisors, whose sum is σ = 388594908000. Its totient is φ = 52144275456.

The previous prime is 145800065897. The next prime is 145800066031. The reversal of 145800065920 is 29560008541.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 542007546 + ... + 542007814.

Almost surely, 2^145800065920 is an apocalyptic number.

145800065920 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 145800065920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194297454000).

145800065920 is an abundant number, since it is smaller than the sum of its proper divisors (242794842080).

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

145800065920 is a wasteful number, since it uses less digits than its factorization.

145800065920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The spelling of 145800065920 in words is "one hundred forty-five billion, eight hundred million, sixty-five thousand, nine hundred twenty".