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148750146760 = 23541345726237
BaseRepresentation
bin1000101010001000110…
…0110001110011001000
3112012221122122101112211
42022202030301303020
54414120014144020
6152200155514504
713514111246155
oct2124214616310
9465848571484
10148750146760
11580a2641996
12249b4158a34
1311047651627
1472b17a522c
153d08ee785a
hex22a2331cc8

148750146760 has 64 divisors (see below), whose sum is σ = 342963195120. Its totient is φ = 58029834240.

The previous prime is 148750146737. The next prime is 148750146763. The reversal of 148750146760 is 67641057841.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1602721156 + 147147425604 = 40034^2 + 383598^2 .

It is a super-2 number, since 2×1487501467602 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (148750146763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5656362 + ... + 5682598.

Almost surely, 2148750146760 is an apocalyptic number.

148750146760 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 148750146760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171481597560).

148750146760 is an abundant number, since it is smaller than the sum of its proper divisors (194213048360).

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

148750146760 is a wasteful number, since it uses less digits than its factorization.

148750146760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29746 (or 29742 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 49.

The spelling of 148750146760 in words is "one hundred forty-eight billion, seven hundred fifty million, one hundred forty-six thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 3457 6914 13828 17285 26237 27656 34570 52474 69140 104948 131185 138280 141737 209896 262370 283474 524740 566948 708685 1049480 1075717 1133896 1417370 2151434 2834740 4302868 5378585 5669480 8605736 10757170 21514340 43028680 90701309 181402618 362805236 453506545 725610472 907013090 1814026180 3628052360 3718753669 7437507338 14875014676 18593768345 29750029352 37187536690 74375073380 148750146760