148756854620160 has 960 divisors, whose sum is σ = 547874096313600. Its totient is φ = 38248906752000.

The previous prime is 148756854620149. The next prime is 148756854620161. The reversal of 148756854620160 is 61026458657841.

148756854620160 is a `hidden beast` number, since 1 + 4 + 8 + 7 + 5 + 6 + 8 + 5 + 462 + 0 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (148756854620161) 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, 77036174395 + ... + 77036176325.

It is an arithmetic number, because the mean of its divisors is an integer number (570702183660).

Almost surely, 2^{148756854620160} is an apocalyptic number.

148756854620160 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 148756854620160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273937048156800).

148756854620160 is an abundant number, since it is smaller than the sum of its proper divisors (399117241693440).

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

148756854620160 is a wasteful number, since it uses less digits than its factorization.

148756854620160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3203 (or 3171 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 148756854620160 in words is "one hundred forty-eight trillion, seven hundred fifty-six billion, eight hundred fifty-four million, six hundred twenty thousand, one hundred sixty".