145396944 has 400 divisors, whose sum is σ = 553107456. Its totient is φ = 35769600.

The previous prime is 145396943. The next prime is 145396957. The reversal of 145396944 is 449693541.

145396944 is a `hidden beast` number, since 14 + 539 + 69 + 44 = 666.

It is a super-2 number, since 2×145396944² = 42280542649078272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145396944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145396943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3093529 + ... + 3093575.

Almost surely, 2^145396944 is an apocalyptic number.

145396944 is a gapful number since it is divisible by the number (14) 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 145396944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276553728).

145396944 is an abundant number, since it is smaller than the sum of its proper divisors (407710512).

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

145396944 is a wasteful number, since it uses less digits than its factorization.

145396944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 101 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 145396944 is about 12058.0655164914. The cubic root of 145396944 is about 525.8377481993.

The spelling of 145396944 in words is "one hundred forty-five million, three hundred ninety-six thousand, nine hundred forty-four".