145587040200 has 1152 divisors, whose sum is σ = 620446003200. Its totient is φ = 30718932480.

The previous prime is 145587040177. The next prime is 145587040213. The reversal of 145587040200 is 2040785541.

145587040200 is a `hidden beast` number, since 14 + 5 + 587 + 0 + 40 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 641352487 + ... + 641352713.

It is an arithmetic number, because the mean of its divisors is an integer number (538581600).

Almost surely, 2^145587040200 is an apocalyptic number.

145587040200 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 145587040200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310223001600).

145587040200 is an abundant number, since it is smaller than the sum of its proper divisors (474858963000).

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

145587040200 is a wasteful number, since it uses less digits than its factorization.

145587040200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 145587040200 in words is "one hundred forty-five billion, five hundred eighty-seven million, forty thousand, two hundred".