145529809920 has 1760 divisors, whose sum is σ = 633444641280. Its totient is φ = 31531991040.

The previous prime is 145529809891. The next prime is 145529809927. The reversal of 145529809920 is 29908925541.

145529809920 is a `hidden beast` number, since 1 + 4 + 5 + 529 + 8 + 0 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145529809927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1993559004 + ... + 1993559076.

It is an arithmetic number, because the mean of its divisors is an integer number (359911728).

Almost surely, 2^145529809920 is an apocalyptic number.

145529809920 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 145529809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316722320640).

145529809920 is an abundant number, since it is smaller than the sum of its proper divisors (487914831360).

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

145529809920 is a wasteful number, since it uses less digits than its factorization.

145529809920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 145529809920 in words is "one hundred forty-five billion, five hundred twenty-nine million, eight hundred nine thousand, nine hundred twenty".