145122943680 has 1344 divisors, whose sum is σ = 629257015296. Its totient is φ = 31352832000.

The previous prime is 145122943663. The next prime is 145122943681. The reversal of 145122943680 is 86349221541.

145122943680 is a `hidden beast` number, since 1 + 4 + 512 + 29 + 4 + 36 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (145122943681) 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 191 ways as a sum of consecutive naturals, for example, 344709870 + ... + 344710290.

It is an arithmetic number, because the mean of its divisors is an integer number (468197184).

Almost surely, 2^145122943680 is an apocalyptic number.

145122943680 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 145122943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314628507648).

145122943680 is an abundant number, since it is smaller than the sum of its proper divisors (484134071616).

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

145122943680 is a wasteful number, since it uses less digits than its factorization.

145122943680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 145122943680 in words is "one hundred forty-five billion, one hundred twenty-two million, nine hundred forty-three thousand, six hundred eighty".