145779552 has 72 divisors (see below), whose sum is σ = 436395960. Its totient is φ = 46033920.

The previous prime is 145779547. The next prime is 145779563. The reversal of 145779552 is 255977541.

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

It is a super-3 number, since 3×145779552³ (a number of 25 digits) contains 333 as substring.

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 junction number, because it is equal to n+sod(n) for n = 145779498 and 145779507.

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, 7849 + ... + 18792.

It is an arithmetic number, because the mean of its divisors is an integer number (6061055).

Almost surely, 2^145779552 is an apocalyptic number.

145779552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145779552 is an abundant number, since it is smaller than the sum of its proper divisors (290616408).

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

145779552 is a wasteful number, since it uses less digits than its factorization.

145779552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26676 (or 26665 counting only the distinct ones).

The product of its digits is 441000, while the sum is 45.

The square root of 145779552 is about 12073.9203244017. The cubic root of 145779552 is about 526.2985866602.

The spelling of 145779552 in words is "one hundred forty-five million, seven hundred seventy-nine thousand, five hundred fifty-two".