145151712 has 144 divisors (see below), whose sum is σ = 456412320. Its totient is φ = 43524096.

The previous prime is 145151711. The next prime is 145151731. The reversal of 145151712 is 217151541.

145151712 is a `hidden beast` number, since 145 + 1 + 517 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145151711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111964 + ... + 113252.

It is an arithmetic number, because the mean of its divisors is an integer number (3169530).

Almost surely, 2^145151712 is an apocalyptic number.

145151712 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 145151712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228206160).

145151712 is an abundant number, since it is smaller than the sum of its proper divisors (311260608).

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

145151712 is a wasteful number, since it uses less digits than its factorization.

145151712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1334 counting only the distinct ones).

The product of its digits is 1400, while the sum is 27.

The square root of 145151712 is about 12047.8924297987. The cubic root of 145151712 is about 525.5419492054.

The spelling of 145151712 in words is "one hundred forty-five million, one hundred fifty-one thousand, seven hundred twelve".