145354968 has 96 divisors (see below), whose sum is σ = 431907840. Its totient is φ = 43796160.

The previous prime is 145354933. The next prime is 145354987. The reversal of 145354968 is 869453541.

145354968 is a `hidden beast` number, since 1 + 45 + 3 + 549 + 68 = 666.

It is a super-2 number, since 2×145354968² = 42256133444562048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176205 + ... + 177027.

It is an arithmetic number, because the mean of its divisors is an integer number (4499040).

Almost surely, 2^145354968 is an apocalyptic number.

145354968 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 145354968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215953920).

145354968 is an abundant number, since it is smaller than the sum of its proper divisors (286552872).

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

145354968 is a wasteful number, since it uses less digits than its factorization.

145354968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1062 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 145354968 is about 12056.3248131427. The cubic root of 145354968 is about 525.7871403274.

It can be divided in two parts, 14535 and 4968, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 145354968 in words is "one hundred forty-five million, three hundred fifty-four thousand, nine hundred sixty-eight".