145091241155520 has 2688 divisors, whose sum is σ = 590636617039872. Its totient is φ = 32359374028800.

The previous prime is 145091241155501. The next prime is 145091241155521. The reversal of 145091241155520 is 25551142190541.

145091241155520 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 9 + 1 + 2 + 4 + 115 + 5 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145091241155521) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 310687882327 + ... + 310687882793.

Almost surely, 2^{145091241155520} is an apocalyptic number.

145091241155520 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 145091241155520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295318308519936).

145091241155520 is an abundant number, since it is smaller than the sum of its proper divisors (445545375884352).

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

145091241155520 is a wasteful number, since it uses less digits than its factorization.

145091241155520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 45.

The spelling of 145091241155520 in words is "one hundred forty-five trillion, ninety-one billion, two hundred forty-one million, one hundred fifty-five thousand, five hundred twenty".