148561560 has 256 divisors, whose sum is σ = 580377600. Its totient is φ = 33094656.

The previous prime is 148561537. The next prime is 148561561. The reversal of 148561560 is 65165841.

148561560 is a `hidden beast` number, since 1 + 48 + 56 + 1 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148561561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 324852 + ... + 325308.

It is an arithmetic number, because the mean of its divisors is an integer number (2267100).

Almost surely, 2^148561560 is an apocalyptic number.

148561560 is a gapful number since it is divisible by the number (10) 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 148561560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290188800).

148561560 is an abundant number, since it is smaller than the sum of its proper divisors (431816040).

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

148561560 is a wasteful number, since it uses less digits than its factorization.

148561560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 148561560 is about 12188.5831826345. The cubic root of 148561560 is about 529.6254146826.

The spelling of 148561560 in words is "one hundred forty-eight million, five hundred sixty-one thousand, five hundred sixty".