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148136659197120 = 26325112700160719
BaseRepresentation
bin100001101011101011000000…
…111100110001110011000000
3201102111201121111000110012200
4201223223000330301303000
5123404032334223301440
61243021013003553200
743126343340231456
oct4153530074616300
9642451544013180
10148136659197120
114322344a224a00
1214745a6352b800
1364872c49c93b9
142881bd15da9d6
15121d593c10c30
hex86bac0f31cc0

148136659197120 has 504 divisors, whose sum is σ = 560149346877120. Its totient is φ = 35906196480000.

The previous prime is 148136659197103. The next prime is 148136659197139. The reversal of 148136659197120 is 21791956631841.

148136659197120 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 36 + 6 + 591 + 9 + 7 + 1 + 2 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2439678121 + ... + 2439738839.

It is an arithmetic number, because the mean of its divisors is an integer number (1111407434280).

It is a 1-persistent number, because it is pandigital, but 2⋅148136659197120 = 296273318394240 is not.

Almost surely, 2148136659197120 is an apocalyptic number.

148136659197120 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 148136659197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280074673438560).

148136659197120 is an abundant number, since it is smaller than the sum of its proper divisors (412012687680000).

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

148136659197120 is a wasteful number, since it uses less digits than its factorization.

148136659197120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67765 (or 67741 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 148136659197120 in words is "one hundred forty-eight trillion, one hundred thirty-six billion, six hundred fifty-nine million, one hundred ninety-seven thousand, one hundred twenty".