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148121251200 = 2732521323103167
BaseRepresentation
bin1000100111110010110…
…1101110110110000000
3112011022211021012000200
42021330231232312000
54411323020014300
6152013532245200
713462403601336
oct2117455566600
9464284235020
10148121251200
11578aa64839a
1224859610800
1310c77279690
147252059b56
153cbdbbd200
hex227cb6ed80

148121251200 has 1152 divisors, whose sum is σ = 603291386880. Its totient is φ = 34329968640.

The previous prime is 148121251189. The next prime is 148121251207. The reversal of 148121251200 is 2152121841.

148121251200 is a `hidden beast` number, since 148 + 1 + 2 + 1 + 2 + 512 + 0 + 0 = 666.

148121251200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148121251207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 886953517 + ... + 886953683.

It is an arithmetic number, because the mean of its divisors is an integer number (523690440).

Almost surely, 2148121251200 is an apocalyptic number.

148121251200 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 148121251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301645693440).

148121251200 is an abundant number, since it is smaller than the sum of its proper divisors (455170135680).

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

148121251200 is a wasteful number, since it uses less digits than its factorization.

148121251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The spelling of 148121251200 in words is "one hundred forty-eight billion, one hundred twenty-one million, two hundred fifty-one thousand, two hundred".