145410320000 has 320 divisors, whose sum is σ = 396850592160. Its totient is φ = 52615680000.

The previous prime is 145410319949. The next prime is 145410320009. The reversal of 145410320000 is 23014541.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×145410320000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (145410320009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 328239779 + ... + 328240221.

Almost surely, 2^145410320000 is an apocalyptic number.

145410320000 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 145410320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198425296080).

145410320000 is an abundant number, since it is smaller than the sum of its proper divisors (251440272160).

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

145410320000 is an equidigital number, since it uses as much as digits as its factorization.

145410320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 145410320000 its reverse (23014541), we get a palindrome (145433334541).

The spelling of 145410320000 in words is "one hundred forty-five billion, four hundred ten million, three hundred twenty thousand".