145413603660 has 192 divisors, whose sum is σ = 449595619200. Its totient is φ = 34888212480.

The previous prime is 145413603649. The next prime is 145413603661. The reversal of 145413603660 is 66306314541.

It is a super-2 number, since 2×145413603660² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (145413603661) 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 63 ways as a sum of consecutive naturals, for example, 62327854 + ... + 62330186.

It is an arithmetic number, because the mean of its divisors is an integer number (2341643850).

Almost surely, 2^145413603660 is an apocalyptic number.

145413603660 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 145413603660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224797809600).

145413603660 is an abundant number, since it is smaller than the sum of its proper divisors (304182015540).

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

145413603660 is a wasteful number, since it uses less digits than its factorization.

145413603660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4348 (or 4346 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 145413603660 in words is "one hundred forty-five billion, four hundred thirteen million, six hundred three thousand, six hundred sixty".