148170506901120 has 384 divisors, whose sum is σ = 559360360428480. Its totient is φ = 35843198976000.

The previous prime is 148170506901097. The next prime is 148170506901161. The reversal of 148170506901120 is 21109605071841.

148170506901120 is a `hidden beast` number, since 1 + 4 + 8 + 17 + 0 + 506 + 9 + 0 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 27085320 + ... + 32092920.

Almost surely, 2^{148170506901120} is an apocalyptic number.

148170506901120 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 148170506901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279680180214240).

148170506901120 is an abundant number, since it is smaller than the sum of its proper divisors (411189853527360).

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

148170506901120 is a wasteful number, since it uses less digits than its factorization.

148170506901120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5008104 (or 5008089 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 148170506901120 in words is "one hundred forty-eight trillion, one hundred seventy billion, five hundred six million, nine hundred one thousand, one hundred twenty".