145105920 has 264 divisors, whose sum is σ = 521149824. Its totient is φ = 37306368.

The previous prime is 145105913. The next prime is 145105963. The reversal of 145105920 is 29501541.

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 23 ways as a sum of consecutive naturals, for example, 2165727 + ... + 2165793.

Almost surely, 2^145105920 is an apocalyptic number.

145105920 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 145105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260574912).

145105920 is an abundant number, since it is smaller than the sum of its proper divisors (376043904).

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

145105920 is a wasteful number, since it uses less digits than its factorization.

145105920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 145105920 is about 12045.9918645166. The cubic root of 145105920 is about 525.4866779591.

The spelling of 145105920 in words is "one hundred forty-five million, one hundred five thousand, nine hundred twenty".