145093382712 has 192 divisors, whose sum is σ = 421747560000. Its totient is φ = 44945252352.

The previous prime is 145093382699. The next prime is 145093382747. The reversal of 145093382712 is 217283390541.

It is a happy number.

145093382712 is a `hidden beast` number, since 1 + 45 + 0 + 9 + 338 + 271 + 2 = 666.

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, 56920414 + ... + 56922962.

It is an arithmetic number, because the mean of its divisors is an integer number (2196601875).

Almost surely, 2^145093382712 is an apocalyptic number.

145093382712 is a gapful number since it is divisible by the number (12) 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 145093382712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210873780000).

145093382712 is an abundant number, since it is smaller than the sum of its proper divisors (276654177288).

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

145093382712 is a wasteful number, since it uses less digits than its factorization.

145093382712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3550 (or 3543 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 145093382712 in words is "one hundred forty-five billion, ninety-three million, three hundred eighty-two thousand, seven hundred twelve".