145908000000 has 1008 divisors, whose sum is σ = 619579569280. Its totient is φ = 33177600000.

The previous prime is 145907999989. The next prime is 145908000053. The reversal of 145908000000 is 809541.

It is a tau number, because it is divible by the number of its divisors (1008).

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 polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 755999904 + ... + 756000096.

Almost surely, 2^145908000000 is an apocalyptic number.

145908000000 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 145908000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309789784640).

145908000000 is an abundant number, since it is smaller than the sum of its proper divisors (473671569280).

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

145908000000 is an frugal number, since it uses more digits than its factorization.

145908000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 145908000000 its reverse (809541), we get a palindrome (145908809541).

The spelling of 145908000000 in words is "one hundred forty-five billion, nine hundred eight million", and thus it is an aban number.