145331110214400 has 1728 divisors, whose sum is σ = 555540068160000. Its totient is φ = 33124830412800.

The previous prime is 145331110214393. The next prime is 145331110214413. The reversal of 145331110214400 is 4412011133541.

It is a happy number.

It is a super-2 number, since 2×145331110214400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 191 ways as a sum of consecutive naturals, for example, 118251512986 + ... + 118251514214.

It is an arithmetic number, because the mean of its divisors is an integer number (321493095000).

Almost surely, 2^{145331110214400} is an apocalyptic number.

145331110214400 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 145331110214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277770034080000).

145331110214400 is an abundant number, since it is smaller than the sum of its proper divisors (410208957945600).

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

145331110214400 is a wasteful number, since it uses less digits than its factorization.

145331110214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 145331110214400 its reverse (4412011133541), we get a palindrome (149743121347941).

The spelling of 145331110214400 in words is "one hundred forty-five trillion, three hundred thirty-one billion, one hundred ten million, two hundred fourteen thousand, four hundred".