145305313550400 has 672 divisors, whose sum is σ = 508263220321920. Its totient is φ = 36238786560000.

The previous prime is 145305313550393. The next prime is 145305313550413. The reversal of 145305313550400 is 4055313503541.

It is a super-2 number, since 2×145305313550400² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3547385920 + ... + 3547426880.

It is an arithmetic number, because the mean of its divisors is an integer number (756344077860).

Almost surely, 2^{145305313550400} is an apocalyptic number.

145305313550400 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 145305313550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254131610160960).

145305313550400 is an abundant number, since it is smaller than the sum of its proper divisors (362957906771520).

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

145305313550400 is a wasteful number, since it uses less digits than its factorization.

145305313550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41503 (or 41488 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 39.

The spelling of 145305313550400 in words is "one hundred forty-five trillion, three hundred five billion, three hundred thirteen million, five hundred fifty thousand, four hundred".