145777464 has 48 divisors (see below), whose sum is σ = 451217520. Its totient is φ = 41650560.

The previous prime is 145777459. The next prime is 145777487. The reversal of 145777464 is 464777541.

145777464 is a `hidden beast` number, since 1 + 4 + 577 + 74 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 144117 + ... + 145124.

It is an arithmetic number, because the mean of its divisors is an integer number (9400365).

Almost surely, 2^145777464 is an apocalyptic number.

145777464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

145777464 is an abundant number, since it is smaller than the sum of its proper divisors (305440056).

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

145777464 is a wasteful number, since it uses less digits than its factorization.

145777464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289260 (or 289253 counting only the distinct ones).

The product of its digits is 658560, while the sum is 45.

The square root of 145777464 is about 12073.8338567333. The cubic root of 145777464 is about 526.2960739239.

The spelling of 145777464 in words is "one hundred forty-five million, seven hundred seventy-seven thousand, four hundred sixty-four".