145952319 has 32 divisors (see below), whose sum is σ = 215377920. Its totient is φ = 87503328.

The previous prime is 145952299. The next prime is 145952369. The reversal of 145952319 is 913259541.

It is a de Polignac number, because none of the positive numbers 2^k-145952319 is a prime.

It is a super-2 number, since 2×145952319² = 42604158842955522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145952369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213352 + ... + 214034.

It is an arithmetic number, because the mean of its divisors is an integer number (6730560).

Almost surely, 2^145952319 is an apocalyptic number.

145952319 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

145952319 is a deficient number, since it is larger than the sum of its proper divisors (69425601).

145952319 is a wasteful number, since it uses less digits than its factorization.

145952319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891.

The product of its digits is 48600, while the sum is 39.

The square root of 145952319 is about 12081.0727586585. The cubic root of 145952319 is about 526.5064144621.

The spelling of 145952319 in words is "one hundred forty-five million, nine hundred fifty-two thousand, three hundred nineteen".