145520403552 has 240 divisors, whose sum is σ = 451291357440. Its totient is φ = 45872739072.

The previous prime is 145520403551. The next prime is 145520403569. The reversal of 145520403552 is 255304025541.

145520403552 is a `hidden beast` number, since 1 + 45 + 5 + 20 + 40 + 3 + 552 = 666.

145520403552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145520403551) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31861173 + ... + 31865739.

It is an arithmetic number, because the mean of its divisors is an integer number (1880380656).

Almost surely, 2^145520403552 is an apocalyptic number.

145520403552 is a gapful number since it is divisible by the number (12) 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 145520403552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225645678720).

145520403552 is an abundant number, since it is smaller than the sum of its proper divisors (305770953888).

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

145520403552 is a wasteful number, since it uses less digits than its factorization.

145520403552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5255 (or 5238 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 145520403552 in words is "one hundred forty-five billion, five hundred twenty million, four hundred three thousand, five hundred fifty-two".