148712578560 has 1920 divisors, whose sum is σ = 684640180224. Its totient is φ = 30098718720.

The previous prime is 148712578559. The next prime is 148712578589. The reversal of 148712578560 is 65875217841.

148712578560 is a `hidden beast` number, since 1 + 4 + 8 + 7 + 1 + 2 + 5 + 78 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 148712578497 and 148712578506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2094543325 + ... + 2094543395.

Almost surely, 2^148712578560 is an apocalyptic number.

148712578560 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 148712578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342320090112).

148712578560 is an abundant number, since it is smaller than the sum of its proper divisors (535927601664).

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

148712578560 is an equidigital number, since it uses as much as digits as its factorization.

148712578560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 148712578560 in words is "one hundred forty-eight billion, seven hundred twelve million, five hundred seventy-eight thousand, five hundred sixty".