145314792 has 72 divisors (see below), whose sum is σ = 457826850. Its totient is φ = 41517504.

The previous prime is 145314791. The next prime is 145314803. The reversal of 145314792 is 297413541.

It can be written as a sum of positive squares in only one way, i.e., 145298916 + 15876 = 12054^2 + 126^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×145314792² = 42232777548006528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (145314791) 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 17 ways as a sum of consecutive naturals, for example, 17067 + ... + 24122.

Almost surely, 2^145314792 is an apocalyptic number.

145314792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145314792 is an abundant number, since it is smaller than the sum of its proper divisors (312512058).

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

145314792 is a wasteful number, since it uses less digits than its factorization.

145314792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41215 (or 41201 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 145314792 is about 12054.6585185977. The cubic root of 145314792 is about 525.7386934781.

The spelling of 145314792 in words is "one hundred forty-five million, three hundred fourteen thousand, seven hundred ninety-two".