145041561520 has 80 divisors (see below), whose sum is σ = 357372269568. Its totient is φ = 54555852800.

The previous prime is 145041561499. The next prime is 145041561529. The reversal of 145041561520 is 25165140541.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (145041561529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1519032 + ... + 1611688.

Almost surely, 2^145041561520 is an apocalyptic number.

145041561520 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 145041561520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178686134784).

145041561520 is an abundant number, since it is smaller than the sum of its proper divisors (212330708048).

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

145041561520 is a wasteful number, since it uses less digits than its factorization.

145041561520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93838 (or 93832 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 34.

The spelling of 145041561520 in words is "one hundred forty-five billion, forty-one million, five hundred sixty-one thousand, five hundred twenty".