145104960 has 448 divisors, whose sum is σ = 622669824. Its totient is φ = 27648000.

The previous prime is 145104943. The next prime is 145105007. The reversal of 145104960 is 69401541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 960885 + ... + 961035.

It is an arithmetic number, because the mean of its divisors is an integer number (1389888).

Almost surely, 2^145104960 is an apocalyptic number.

145104960 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 145104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311334912).

145104960 is an abundant number, since it is smaller than the sum of its proper divisors (477564864).

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

145104960 is a wasteful number, since it uses less digits than its factorization.

145104960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 145104960 is about 12045.9520171716. The cubic root of 145104960 is about 525.4855191083.

The spelling of 145104960 in words is "one hundred forty-five million, one hundred four thousand, nine hundred sixty".