145011212640 has 288 divisors, whose sum is σ = 567099187200. Its totient is φ = 33054262272.

The previous prime is 145011212623. The next prime is 145011212677. The reversal of 145011212640 is 46212110541.

145011212640 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 1 + 1 + 2 + 12 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3679761 + ... + 3718959.

It is an arithmetic number, because the mean of its divisors is an integer number (1969094400).

Almost surely, 2^145011212640 is an apocalyptic number.

145011212640 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 145011212640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283549593600).

145011212640 is an abundant number, since it is smaller than the sum of its proper divisors (422087974560).

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

145011212640 is a wasteful number, since it uses less digits than its factorization.

145011212640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39594 (or 39583 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 145011212640 in words is "one hundred forty-five billion, eleven million, two hundred twelve thousand, six hundred forty".