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146133645152 = 2511439654707
BaseRepresentation
bin1000100000011000111…
…1100111011101100000
3111222012022020100002212
42020012033213131200
54343240203121102
6151044411101252
713362220326455
oct2100617473540
9458168210085
10146133645152
1156a7a6a6570
12243a3a41828
1310a1b551721
1471040a982c
153c04457c52
hex22063e7760

146133645152 has 48 divisors (see below), whose sum is σ = 321154206912. Its totient is φ = 64879624320.

The previous prime is 146133645103. The next prime is 146133645157. The reversal of 146133645152 is 251546331641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146133645157) 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 7 ways as a sum of consecutive naturals, for example, 4812218 + ... + 4842489.

It is an arithmetic number, because the mean of its divisors is an integer number (6690712644).

Almost surely, 2146133645152 is an apocalyptic number.

It is an amenable number.

146133645152 is an abundant number, since it is smaller than the sum of its proper divisors (175020561760).

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

146133645152 is a wasteful number, since it uses less digits than its factorization.

146133645152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9654771 (or 9654763 counting only the distinct ones).

The product of its digits is 259200, while the sum is 41.

Adding to 146133645152 its reverse (251546331641), we get a palindrome (397679976793).

The spelling of 146133645152 in words is "one hundred forty-six billion, one hundred thirty-three million, six hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 43 44 86 88 172 176 344 352 473 688 946 1376 1892 3784 7568 15136 9654707 19309414 38618828 77237656 106201777 154475312 212403554 308950624 415152401 424807108 830304802 849614216 1660609604 1699228432 3321219208 3398456864 4566676411 6642438416 9133352822 13284876832 18266705644 36533411288 73066822576 146133645152