145956059449200 has 4320 divisors, whose sum is σ = 719087635445760. Its totient is φ = 27849153024000.

The previous prime is 145956059449199. The next prime is 145956059449217. The reversal of 145956059449200 is 2944950659541.

145956059449200 is a `hidden beast` number, since 1 + 4 + 5 + 9 + 56 + 0 + 5 + 94 + 492 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 225588963277 + ... + 225588963923.

It is an arithmetic number, because the mean of its divisors is an integer number (166455471168).

Almost surely, 2^{145956059449200} is an apocalyptic number.

145956059449200 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 145956059449200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359543817722880).

145956059449200 is an abundant number, since it is smaller than the sum of its proper divisors (573131575996560).

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

145956059449200 is a wasteful number, since it uses less digits than its factorization.

145956059449200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 63.

The spelling of 145956059449200 in words is "one hundred forty-five trillion, nine hundred fifty-six billion, fifty-nine million, four hundred forty-nine thousand, two hundred".