145478264555520 has 576 divisors, whose sum is σ = 571564570449600. Its totient is φ = 33925290393600.

The previous prime is 145478264555453. The next prime is 145478264555527. The reversal of 145478264555520 is 25555462874541.

It is a happy number.

145478264555520 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 7 + 8 + 26 + 4 + 55 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (145478264555527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19568095 + ... + 25958945.

It is an arithmetic number, because the mean of its divisors is an integer number (992299601475).

Almost surely, 2^{145478264555520} is an apocalyptic number.

145478264555520 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 145478264555520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285782285224800).

145478264555520 is an abundant number, since it is smaller than the sum of its proper divisors (426086305894080).

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

145478264555520 is a wasteful number, since it uses less digits than its factorization.

145478264555520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6390916 (or 6390893 counting only the distinct ones).

The product of its (nonzero) digits is 268800000, while the sum is 63.

The spelling of 145478264555520 in words is "one hundred forty-five trillion, four hundred seventy-eight billion, two hundred sixty-four million, five hundred fifty-five thousand, five hundred twenty".