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144752130 = 2335975527
BaseRepresentation
bin10001010000010…
…11111000000010
3101002101011121000
420220023320002
5244024032010
622210312430
73405241605
oct1050137002
9332334530
10144752130
1174788466
1240588716
1323cb2363
141532033c
15ca947c0
hex8a0be02

144752130 has 64 divisors (see below), whose sum is σ = 390055680. Its totient is φ = 38195712.

The previous prime is 144752129. The next prime is 144752141. The reversal of 144752130 is 31257441.

144752130 is a `hidden beast` number, since 1 + 447 + 5 + 213 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 144752094 and 144752103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23427 + ... + 28953.

It is an arithmetic number, because the mean of its divisors is an integer number (6094620).

Almost surely, 2144752130 is an apocalyptic number.

144752130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144752130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195027840).

144752130 is an abundant number, since it is smaller than the sum of its proper divisors (245303550).

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

144752130 is a wasteful number, since it uses less digits than its factorization.

144752130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5640 (or 5634 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 144752130 is about 12031.2979349694. The cubic root of 144752130 is about 525.0592586171.

It can be divided in two parts, 1447521 and 30, that added together give a triangular number (1447551 = T1701).

The spelling of 144752130 in words is "one hundred forty-four million, seven hundred fifty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 97 135 194 270 291 485 582 873 970 1455 1746 2619 2910 4365 5238 5527 8730 11054 13095 16581 26190 27635 33162 49743 55270 82905 99486 149229 165810 248715 298458 497430 536119 746145 1072238 1492290 1608357 2680595 3216714 4825071 5361190 8041785 9650142 14475213 16083570 24125355 28950426 48250710 72376065 144752130