145381346208 has 384 divisors, whose sum is σ = 511399526400. Its totient is φ = 39281780736.

The previous prime is 145381346197. The next prime is 145381346221. The reversal of 145381346208 is 802643183541.

145381346208 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 8 + 13 + 4 + 620 + 8 = 666.

It is a super-2 number, since 2×145381346208² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12374385 + ... + 12386127.

It is an arithmetic number, because the mean of its divisors is an integer number (1331769600).

Almost surely, 2^145381346208 is an apocalyptic number.

145381346208 is a gapful number since it is divisible by the number (18) 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 145381346208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255699763200).

145381346208 is an abundant number, since it is smaller than the sum of its proper divisors (366018180192).

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

145381346208 is a wasteful number, since it uses less digits than its factorization.

145381346208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11881 (or 11867 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 145381346208 in words is "one hundred forty-five billion, three hundred eighty-one million, three hundred forty-six thousand, two hundred eight".