145855987200 has 2520 divisors, whose sum is σ = 711270580680. Its totient is φ = 29262643200.

The previous prime is 145855987181. The next prime is 145855987241. The reversal of 145855987200 is 2789558541.

145855987200 is a `hidden beast` number, since 1 + 4 + 5 + 8 + 559 + 87 + 2 + 0 + 0 = 666.

145855987200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 5029516786 + ... + 5029516814.

Almost surely, 2^145855987200 is an apocalyptic number.

145855987200 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 145855987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355635290340).

145855987200 is an abundant number, since it is smaller than the sum of its proper divisors (565414593480).

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

145855987200 is an equidigital number, since it uses as much as digits as its factorization.

145855987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 145855987200 in words is "one hundred forty-five billion, eight hundred fifty-five million, nine hundred eighty-seven thousand, two hundred".