145012414064 has 160 divisors (see below), whose sum is σ = 344919638016. Its totient is φ = 57717031680.

The previous prime is 145012414039. The next prime is 145012414081. The reversal of 145012414064 is 460414210541.

It is a self number, because there is not a number n which added to its sum of digits gives 145012414064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15371429 + ... + 15380859.

Almost surely, 2^145012414064 is an apocalyptic number.

145012414064 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 145012414064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172459819008).

145012414064 is an abundant number, since it is smaller than the sum of its proper divisors (199907223952).

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

145012414064 is a wasteful number, since it uses less digits than its factorization.

145012414064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9643 (or 9637 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The spelling of 145012414064 in words is "one hundred forty-five billion, twelve million, four hundred fourteen thousand, sixty-four".