145145522240 has 112 divisors (see below), whose sum is σ = 360825166080. Its totient is φ = 55507752960.

The previous prime is 145145522239. The next prime is 145145522281. The reversal of 145145522240 is 42225541541.

It is a self number, because there is not a number n which added to its sum of digits gives 145145522240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24071546 + ... + 24077574.

Almost surely, 2^145145522240 is an apocalyptic number.

145145522240 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 145145522240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180412583040).

145145522240 is an abundant number, since it is smaller than the sum of its proper divisors (215679643840).

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

145145522240 is a wasteful number, since it uses less digits than its factorization.

145145522240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9340 (or 9330 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 35.

The spelling of 145145522240 in words is "one hundred forty-five billion, one hundred forty-five million, five hundred twenty-two thousand, two hundred forty".