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148536321480 = 23335298595521
BaseRepresentation
bin1000101001010101110…
…1000110010111001000
3112012101202021221102000
42022111131012113020
54413200244241410
6152123040511000
713505603620641
oct2122535062710
9465352257360
10148536321480
1157aa2976888
122495461b460
13110122665b1
1472912246c8
153ce535bdc0
hex22957465c8

148536321480 has 256 divisors, whose sum is σ = 512883360000. Its totient is φ = 38192394240.

The previous prime is 148536321467. The next prime is 148536321481. The reversal of 148536321480 is 84123635841.

148536321480 is a `hidden beast` number, since 1 + 4 + 8 + 5 + 3 + 632 + 1 + 4 + 8 + 0 = 666.

148536321480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (148536321481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26901120 + ... + 26906640.

It is an arithmetic number, because the mean of its divisors is an integer number (2003450625).

Almost surely, 2148536321480 is an apocalyptic number.

148536321480 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 148536321480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256441680000).

148536321480 is an abundant number, since it is smaller than the sum of its proper divisors (364347038520).

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

148536321480 is a wasteful number, since it uses less digits than its factorization.

148536321480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6429 (or 6419 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 148536321480 in words is "one hundred forty-eight billion, five hundred thirty-six million, three hundred twenty-one thousand, four hundred eighty".