148305564 has 144 divisors (see below), whose sum is σ = 449729280. Its totient is φ = 40677120.

The previous prime is 148305557. The next prime is 148305589. The reversal of 148305564 is 465503841.

It is a happy number.

148305564 is a `hidden beast` number, since 14 + 83 + 0 + 5 + 564 = 666.

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

It is a congruent number.

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, 172624 + ... + 173480.

It is an arithmetic number, because the mean of its divisors is an integer number (3123120).

Almost surely, 2^148305564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148305564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224864640).

148305564 is an abundant number, since it is smaller than the sum of its proper divisors (301423716).

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

148305564 is a wasteful number, since it uses less digits than its factorization.

148305564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 148305564 is about 12178.0771881279. The cubic root of 148305564 is about 529.3210292167.

The spelling of 148305564 in words is "one hundred forty-eight million, three hundred five thousand, five hundred sixty-four".