145220153321540 has 192 divisors, whose sum is σ = 337852596436992. Its totient is φ = 51993681062400.

The previous prime is 145220153321539. The next prime is 145220153321561. The reversal of 145220153321540 is 45123351022541.

It is a junction number, because it is equal to n+sod(n) for n = 145220153321494 and 145220153321503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4843401389 + ... + 4843431371.

It is an arithmetic number, because the mean of its divisors is an integer number (1759648939776).

Almost surely, 2^{145220153321540} is an apocalyptic number.

145220153321540 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 145220153321540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168926298218496).

145220153321540 is an abundant number, since it is smaller than the sum of its proper divisors (192632443115452).

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

145220153321540 is a wasteful number, since it uses less digits than its factorization.

145220153321540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31330 (or 31328 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 38.

The spelling of 145220153321540 in words is "one hundred forty-five trillion, two hundred twenty billion, one hundred fifty-three million, three hundred twenty-one thousand, five hundred forty".