145209784104 has 1152 divisors, whose sum is σ = 562306867200. Its totient is φ = 34012224000.

The previous prime is 145209784067. The next prime is 145209784147. The reversal of 145209784104 is 401487902541.

145209784104 is a `hidden beast` number, since 1 + 452 + 0 + 97 + 8 + 4 + 104 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 145209784104.

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, 2380488234 + ... + 2380488294.

It is an arithmetic number, because the mean of its divisors is an integer number (488113600).

Almost surely, 2^145209784104 is an apocalyptic number.

145209784104 is a gapful number since it is divisible by the number (14) 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 145209784104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281153433600).

145209784104 is an abundant number, since it is smaller than the sum of its proper divisors (417097083096).

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

145209784104 is a wasteful number, since it uses less digits than its factorization.

145209784104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 145209784104 in words is "one hundred forty-five billion, two hundred nine million, seven hundred eighty-four thousand, one hundred four".