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148521885120 = 2634572337347
BaseRepresentation
bin1000101001010010011…
…0000001110111000000
3112012100202010111110000
42022110212001313000
54413133100310440
6152121403240000
713505340123300
oct2122446016700
9465322114400
10148521885120
1157a95806604
122494b819000
131100c28067b
14728d347600
153ce3e59730
hex2294981dc0

148521885120 has 840 divisors, whose sum is σ = 618174578736. Its totient is φ = 33749581824.

The previous prime is 148521885103. The next prime is 148521885121. The reversal of 148521885120 is 21588125841.

148521885120 is a `hidden beast` number, since 1 + 4 + 8 + 52 + 1 + 88 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148521885121) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 428016787 + ... + 428017133.

Almost surely, 2148521885120 is an apocalyptic number.

148521885120 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 148521885120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309087289368).

148521885120 is an abundant number, since it is smaller than the sum of its proper divisors (469652693616).

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

148521885120 is a wasteful number, since it uses less digits than its factorization.

148521885120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 45.

The spelling of 148521885120 in words is "one hundred forty-eight billion, five hundred twenty-one million, eight hundred eighty-five thousand, one hundred twenty".