145420005555600 has 480 divisors, whose sum is σ = 487772380569600. Its totient is φ = 36963859046400.

The previous prime is 145420005555599. The next prime is 145420005555641. The reversal of 145420005555600 is 6555500024541.

It is a super-2 number, since 2×145420005555600² (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, 11460314056 + ... + 11460326744.

It is an arithmetic number, because the mean of its divisors is an integer number (1016192459520).

Almost surely, 2^{145420005555600} is an apocalyptic number.

145420005555600 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 145420005555600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243886190284800).

145420005555600 is an abundant number, since it is smaller than the sum of its proper divisors (342352375014000).

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

145420005555600 is a wasteful number, since it uses less digits than its factorization.

145420005555600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14143 (or 14132 counting only the distinct ones).

The product of its (nonzero) digits is 600000, while the sum is 42.

The spelling of 145420005555600 in words is "one hundred forty-five trillion, four hundred twenty billion, five million, five hundred fifty-five thousand, six hundred".