145777968 has 100 divisors (see below), whose sum is σ = 482228560. Its totient is φ = 41648256.

The previous prime is 145777949. The next prime is 145777987. The reversal of 145777968 is 869777541.

145777968 is a `hidden beast` number, since 1 + 4 + 577 + 7 + 9 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (145777949) and next prime (145777987).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1038 + ... + 17106.

Almost surely, 2^145777968 is an apocalyptic number.

145777968 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 145777968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241114280).

145777968 is an abundant number, since it is smaller than the sum of its proper divisors (336450592).

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

145777968 is a wasteful number, since it uses less digits than its factorization.

145777968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16096 (or 16081 counting only the distinct ones).

The product of its digits is 2963520, while the sum is 54.

The square root of 145777968 is about 12073.8547282962. The cubic root of 145777968 is about 526.2966804487.

The spelling of 145777968 in words is "one hundred forty-five million, seven hundred seventy-seven thousand, nine hundred sixty-eight".