145368648 has 128 divisors (see below), whose sum is σ = 436320000. Its totient is φ = 44706816.

The previous prime is 145368637. The next prime is 145368653. The reversal of 145368648 is 846863541.

It is a super-2 number, since 2×145368648² = 42264087642695808, which contains 22 as substring.

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, 143568 + ... + 144576.

It is an arithmetic number, because the mean of its divisors is an integer number (3408750).

Almost surely, 2^145368648 is an apocalyptic number.

145368648 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 145368648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218160000).

145368648 is an abundant number, since it is smaller than the sum of its proper divisors (290951352).

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

145368648 is a wasteful number, since it uses less digits than its factorization.

145368648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1066 counting only the distinct ones).

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

The square root of 145368648 is about 12056.8921368651. The cubic root of 145368648 is about 525.8036345290.

The spelling of 145368648 in words is "one hundred forty-five million, three hundred sixty-eight thousand, six hundred forty-eight".