145191312 has 240 divisors, whose sum is σ = 511723200. Its totient is φ = 39299904.

The previous prime is 145191287. The next prime is 145191323. The reversal of 145191312 is 213191541.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

145191312 is a `hidden beast` number, since 14 + 519 + 131 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7641639 + ... + 7641657.

It is an arithmetic number, because the mean of its divisors is an integer number (2132180).

Almost surely, 2^145191312 is an apocalyptic number.

145191312 is a gapful number since it is divisible by the number (12) 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 145191312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255861600).

145191312 is an abundant number, since it is smaller than the sum of its proper divisors (366531888).

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

145191312 is an equidigital number, since it uses as much as digits as its factorization.

145191312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 31 counting only the distinct ones).

The product of its digits is 1080, while the sum is 27.

The square root of 145191312 is about 12049.5357586921. The cubic root of 145191312 is about 525.5897372947.

The spelling of 145191312 in words is "one hundred forty-five million, one hundred ninety-one thousand, three hundred twelve".